Welcome to TFL, jerseyfire!
In all honestly, you'll wind up wanting all of the things on your list, so I think that the question you want to ask is, "In what order do I want to get these?"
First, I'd call the range and see if they have eye and ear protection available. You most certainly need those items, and you will want your own sets soon enough, but many ranges have it available for low or no cost. If you don't own any hearing protection yet, you may want to try out several different kinds to see what you like. Personally, I often double up on hearing protection, using both the foam plugs and then
these electronic muffs over those. I'm not in love with these particular muffs, but I got 'em cheap and they work OK, but I am thinking about upgrading, truth be told.
Second, given your username, I'd be looking at cases. I'm not sure where you'll be buying these guns, or whether they'll come with cases, but I'll hazard a guess that you'll need cases to take them to and from the range. Check your local and state laws for transport restrictions, because this is pretty much a hunch on my part.
Third, a decent range bag. Between the ammo, eyes and ears, extra mags, maybe a knife, some gun oil . . . . You need a range bag.
Here's what I use. I got it a few months back, and I'm pretty happy with it. It's probably not the best bag on the market, but it's good for the price. I see lots of tool bags recommended, too, because they'll support the weight of ammo & guns pretty well.
Obviously, extra mags are handy, especially if your range charges by the hour. You'll want to spend your time shooting, not loading magazines.
I'd also suggest some kind of multi-tool. Personally, I don't want to carry an entire tool kit in my range bag, so I carry one of
these. You just never know when you'll need a knife, screwdriver, pliers, or what have you.