Canon, and Nikon, have the largest array of lenses, speedlights, etc, to choose from. Sony, Fuji, etc, are good, but have a smaller number of accessories to choose from, and also have problems with overheating, short battery life, etc. I like the controls on Nikons better than those on Canons. You may feel the opposite. Check each out, and see for yourself. For portraits, use a Prime (single focal length) lens...a 100mm lens rather than a 100-300mm Zoom lens. For a Full Frame camera, a slight telephoto lens of a focal length of 60mm, or larger, would work. I like 85mm, or 105mm, or 135mm. Some folks prefer 150mm, or 200mm. Prime lenses will be sharper than Zoom lenses. The larger your focal length, the further away from your subject you have to stand. If you use an APS-C Crop Frame camera, you can use a lower focal length lens, and get the field of view of a larger lens....so a 60mm Nikon lens, on a DX camera would give the field of view of a 90mm lens on an FX camera.
Mirrorless can be handy, as the viewfinder, or screen, shows what the sensor sees, rather than showing an image reflected through mirrors, and / or prisms. Full Frame mirrorless cameras are about as big, and weigh about as much, as most DSLR cameras, so size, and weight, are not really factors to consider much. If you go mirrorless, a smaller sensored-Micro Four Thirds(M4/3), One Inch, etc, camera will give you size, and weight, savings, but also give greater Depth Of Field, and so NOT produce the sort of Bokeh (blur in front of / behind the subject) that most portrait shooters desire. All else being equal, an APS-C camera will give greater Bokeh, and a Full Frame camera will give even greater Bokeh.
The way to cut costs is to buy used, or even Factory Refurbished. nikonusa.com, adorama.com, bhphotovideo.com, and amazon.com, are the best places to shop. Other places may be good, or not.
In the Nikon line, a used, or refurbished D7200 would be a good DX (APS-C) choice. Adorama has one for $689.00. They also have a used Nikon 60mm Macro AF lens for $115.00. On the D7200 (a DX camera), that lens gives the field of view of a 90mm lens on an FX body, and that is good for portraits. The true 1:1 Macro capability lets you shoot from as close as 8.64 inches from your subject, if you wish to. The AFS version of the lens will cost a bit more, and focus from a bit closer (7.28 inches). This Macro capability lets you get close ups of things like stamps, coins, jewelry, etc, when you want to. You can also shoot non-macro images-portraits, etc-with the lens when you wish to.
You can get a used Full Frame Nikon for around $1,000.00. bhphotovideo.com has one (body only) for $1.099.95. Ebay has several for around $730.00 to $860.00.
The 60mm Macro lens mentioned above is an FX lens, but can be used on a DX body.
If I were you, I'd probably go with either a used Nikon D7200, and Nikon 60mm Macro 2.8 lens...or a used Nikon D610 and a used Nikon 85mm 1.8 lens.
You could find similar Canon products, which would usually cost a bit more (as Toyota cars tend to cost a bit more than comparable Hondas), or go with a used mirrorless system from Fuji, Pentax, Olympus, or such. If you go Full Frame mirrorless-for Bokeh-you will have higher cost, and lower battery life, and overheating problems. If you go Crop Frame mirrorless (APS-C, M4/3, One Inch, etc), you will get less Bokeh, and get the battery / etc problems, but have a smaller, lighter weight, system.
There is no one all around, always best for everything, camera, lens, flash, or anything else. What works well for one thing will be less good for something else. All of photography is a matter of compromises, and trade offs. Balance what you want / need in the way of: shutter speed, aperture, burst rate, etc, against: cost, availability, ease of use, and such. Come up with what suits you / your type of photography best. You have my recommendations above. Others will recommend something else. Do some research. Download, and read, copies of the owner's manuals of cameras you are considering. Read product reviews online. Watch YouTube videos about the cameras you are considering. I usually research a product for a year, or two, before buying it. By then I know a lot about it, and the price has dropped a bit.
Canon, and Nikon, have the largest array of lenses... (
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