The moon is illuminated by the same sunlight that lights the earth. So when overhead, the Sunny 16 rule will provide a starting point...that is f16 at a shutter speed of 1/ISO. We usually like to photograph it lower in the sky, however. In that case, its light has to pass through more of the atmosphere, so one or two (or sometimes a little more) exposure will be needed.

Daylight white balance is appropriate. And...the moon is not white...it just looks that way in the dark sky. So bring the exposure down such that it is rendered in various shades of gray.

Night photography is all manual. A big challenge is achieving proper focus. If you can focus on the moon, that's great. If not, pick a light or an illuminated object a few hundred feet away and focus on that.

If you want details of the lunar surface, you will need your longest lens. Maximum aperture is not a problem. And you will probably want to shoot at f8 rather than f16, adjusting shutter speed accordingly. (Although I've used f16 just fine.)

Two or three days before or after actual full moon will provide more interesting results of the lunar surface, when the lighting from the sun is not directly overhead.

If you are wanting moonlit landscapes, the challenges are a little greater, especially if you want the moon in the image. Dynamic range will be very high, and you will probably need to do quite a bit of post processing. I am not the best person to help you with those images.

Good luck.

Photographing the moon seems like such a simple task, but the options are almost too numerous. I've taken many over the past few years which is why my wife thinks I'm a lunatic. I shoot with a Sony RX10-III, 24-600mm zoom. Great camera. Most of my stuff is handheld. Here are some thoughts.
1. All settings should be Manual, including focus (use Live View to get precise focusing).
2. The moon will be most photogenic when the moon is NOT full (waxing crescent to half, half to waning crescent), photo under exposed. This will bring out the features like craters,etc. thanks to shadows.
3. Photos lower in the sky are interesting due to color changes.
4. Look for an almost new moon (moonrise just before sunrise) and you'll see "earthshine", when the dark side of the moon is illuminated by the earth.
MY favorites were a pic of a super moon just rising over a lake. The moon was orange, the reflection of the moon in the ripples on the lake and the "devil horns" on the moon caused by atmospheric distortion all contributed to a great pic. My second favorite was taken on a crystal clear winter night after an ice storm; although the moon itself was no big deal it certainly contributed to the overall effect.