Ttaylor

I recommend going to the famous market in Budapest, their parliament, and the crown jewels on the Pest side. Good photo ops there.

Also, cross the Danube to the hilly Buda side for excellent scenic pictures of the Danube and the cityscape.

Lots to see and do in Prague, one of my favorite European cities. Mass transit is easy, the city is very vibrant, and is loads of fun at night.

Grezgorz Loc: Mid-Michigan

I've been to both cities, great photographic opportunities. If you have the time, it is a short distance from Prague to Krakow; it has the charm of Prague and less crowds. Very gorgeous old town square, friendly and great food.

bweber Loc: Newton, MA

I have traveled to Vienna and Budapest. Budapest is a great place to shoot. I use a Canon 5dsr. My primary lens is a 28-105. I used this as my walk around lens. However, I found that I used my 15-30mm sigma lens a lot. (Now replaced with a 16-35 2.8) Some of the real great windows, doors and building fronts are on narrow streets and the wide angle is really useful. I also brought a 200 2.8 but rarely used it. If you have to make a choice I would go with wide angle over a telephoto.

tinplater Loc: Scottsdale, AZ

We did a Viking cruise, Amsterdam to Budapest and Budapest was one of the highlights. We entered the city around 10pm and our captain sailed in, then out, then back in to dock at the Chain Bridge giving us three opportunities to photograph the city at night. The views are glorious! As an aside, if you get a chance, eat at the Gundel Restaurant. It is a wonderful experience with a magnificent art collection, gypsy band, formal service, and wonderful food. It was a highlight of our trip.

Mihaly

Try to get out to the Hortobágy National Park on the puszta if you can! Great photo opportunities there. Also before your trip, practice a few simple phrases in Hungarian; the Hungarians will love it! (I know; I know...it's a strange language, but I love it.)

http://www.hnp.hu/en

(Click on the English tab)

Robert T. Voss

Prague is a very photogenic city. One thing not to miss is a walk across the Charles Bridge at night. The view of the Prague Castle all lit up is something you will remember for the rest of your life. Also, the clock in Old Town Square. Get there on the hour!

Gaddysmom

I'm pretty sure Steve49 meant the "Lennon Wall," which is in Prague and was so called because before the Velvet Revolution it was painted with an image of John Lennon every night. It used to be very photogenic, but the last time I was in Prague the grafitti was now more vulgar than revolutionary and it was almost impossible to distinguish Lennon.

tombackman Loc: RHODE ISLAND

I think Budapest is a photographer's dream. Be sure to check out the Chain Bridge, the Capital area and views from the Capital area, and the area where St Matias is and the views from there of the Parliament building. There is a Belgium Pub [Belga Sorozo] on the Danube River on the opposite side from the Parliament Building that cannot be beat.

Ghery Loc: Olympia, WA

My wife and I visited all three in 2015 prior to a professional society symposium in Dresden. All three are great. I carried my Canon T5i with the 18-135 mm lens. Worked great. The Marriott in Budapest is right on the Danube and all rooms face the river. Great views of the castle on the Buda side of the river. Prague is great. Pay the fee to take pictures inside the castle ( it's nominal) and also pay to climb to the top of the Cathedral ( in the castle). Great view from up there. BTW, beer in Prague is cheap. :-) You'll love all three. Old town Vienna is also great. Plan ahead and have fun.

DJD Loc: Seal Beach, CA

My wife and I visited both cities a few years back. I used a Nikon D80 w/18-200 lens and that worked fine. Both cities are exceptional for photography. I found Prague particularly beautiful. As a recommendation, if time allows, take a half-day city tour to orient yourself to the various attractions, then go back to the places you want to concentrate on.

Dave.Largent Loc: Puyallup, Washington

I was able to go to Prague last June and would say "Just Do It"
While I have not been to Budapest I would not pass up the opportunity to go if I had it. As to the 28-300 lens, because I was traveling as a tourist I decided to take just the D800 and 28-300 lens and not have to worry about carrying a bunch of extra gear and changing lenses. The D800 + 28-300 is heavy, but much more convenient than carrying a bunch of other gear all day long. I would recommend having a very comfortable camera strap that will ease carrying the camera around your neck all day long. If you are able to shoot panoramic shots you can use that to get around any subjects that may be to wide for the 28mm end (see Charles Bridge photo). I would suggest a trip to the top of the Petrin Lookout Tower (often called the Prague Eiffel Tower) for the best view over the city. Make sure you go up to the very top so you have an open view and not through the dirty windows. Some will say the lens is not sharp enough, but I have been pretty happy with it.
Here are a couple shots from my trip all with just the 28-300.

The Charles Bridge a several shot pano.


Petrin Lookout Tower is named after the hill it sits on. It is only a couple hundred feet tall but the hill is about a thousand feet high and on the edge of the city.


Shot from the lookout tower looking over the city.


Rooftops from the lookout tower.


Buildings along the river.


View of the city zoomed in to 300mm.

David in Dallas Loc: Dallas, Texas, USA

I have visited both places. I have photos of those visits on Flickr®:
Budapest 2010 -- https://www.flickr.com/photos/8712554@N02/sets/72157624729820425/
https://www.flickr.com/photos/8712554@N02/sets/72157624854588328/
Budapest 2012 -- https://www.flickr.com/photos/8712554@N02/sets/72157632742129472/
https://www.flickr.com/photos/8712554@N02/sets/72157632737213949/

Prague 2012 -- https://www.flickr.com/photos/8712554@N02/sets/72157632741695272/ (some night)
Prague 2015 -- https://www.flickr.com/photos/8712554@N02/collections/72157657708291290/ (4 albums)

There are many wonderful photo opportunities in both cities.

yotshot

The lens is an AF-S Nikkor 17-35 mm 2.8. I have used this on my 35 mm film cameras, so I assumed that it is full frame. My local camera store also confirmed that it will work with full frame. Sure don't want to take along equipment that doesn't play nice together. Correct me if I am wrong. Thanks.

jrcarpe Loc: Jacksonville,AR

Both cities are great for photography.Some of my better shots were taken in Budapest.Prague Castle offers some great shots also. Have fun and shoot,shoot and shoot some more.

rdgreenwood Loc: Kennett Square, Pennsylvania

Gear wise you're fine. I shoot wih a D800E and the 28-300. Great combo. In Budapest, be prepared for TWO cities, Buda and Pest. Both have lots to offer. I have a few images on my website.