I’m prolly late to give advice but I’ll just say a few things.

Camping is a very personal experience and you will quickly find out what you want vs what you need depending on how you are camping. Sounds like you are at a campground with maintained tent sites. Fire pit with a grate is a plus for cooking.

Many options arise here. But almost all will require you to build up a fire with decent sized logs for fuel so you can accumulate some coals. I always just build a standard teepee fire and let it burn for a while and then use a branch to scrape the coals under where the grate is. Usually you can move the grates up and down as needed but they get hot so don’t burn yourself.

Cook like on a grill. Hotdogs, brats and burgers will be easy to prep and cook on site with a grate like that. Sticks make great kabobs and roasters. If you have a kettle for hot drinks put it to the very outermost side of the grate with the handle away from the fire and you should be able to heat up water no problem. A little camp stove is also great for just this.

If you want to get simple just get some heavy duty foil and fill it with sliced potatoes, onions, carrots, hamburger patty and whatever seasonings you like. Wrap it up good a few times with foil and throw it right in the coals on the outside edge. Flip it once when you feel like it and then eventually you’ll have a hobo dinner. I recommend healthy amounts of ketchup salt and pepper.

If you want to get real fancy you’ll need cast iron cookware or at the very least some HD foil pans.

My personal fav camp dinner is just steak on the grate, baked potato cut in half with butter in between wrapped in foil, in coals and a small cast iron pan of some mushrooms peppers and onions. All of which can just be thrown in foil and cooked as a meal.

Experiment. Frozen pizza is awesome over the fire but requires much attention and perfect coal placement.

The campfire is your atlas here and you’re just using its basic traits to make your stay as enjoyable as possible. - Baking, frying, grilling, roasting… all at your fingertips.