The recommended guns are good ( I'd say go with a pump action, for your first) but I strongly advise you visit your local skeet/trap range. Tell the guys what your interests are, and ask if they have some diff makes & models* you can try out. You may have set things up for the following weekend.

Find a gun that fits you, and most importantly hits what you point it at. Not all shotguns handle the same. There's a lot of reasons, barrel length, weight, length of pull, and more.

Try a few before you settle on one. As for the action, pump vs semi-auto, each has it pros & cons. Whatever you choose, make sure you know how to field strip it and have any tools necessary in your field bag.

*there are some very nice looking and very expensive shotguns out there, not well suited for field situations, and stick with your price range