I haven't posted to this site in a long time. But I have been continuously lurking.
I am a tent camper, wannabee teardropper.
I use ozark trail camping gear, the single air mattresses. this is my 3rd year using the same ones. i also use the c or d battery operated inflator. it only takes a couple minutes to blow one mattress up. unscrew the mattress when you want to deflate. easy as pie. the mattresses i get only cost about 12 bucks give or take.
but i will agree with the other poster about have a cover for the mattress, something thick works better or a couple of fleece blankets. sleeping on a cold air mattress is not fun, well it might be fun, but it will be cold.
i have been reading your posts and you are new to camping. you can get carried away with buying gear. get the basic stuff and build on to that. like i said, you can get carried away and end up way over packing for car camping with a tent, i know, i carry a window a/c unit for my tents.
you have a tent, and will have your stove. pick up a pan or grill/gridle for cooking over the stove or open fire. get some camping utensils, (you really don't even need camping ones, you can just borrow your normal kitchen ones for the first time out). after your first time out you will get a better feel of what you will "need" and what you will "want".
one thing you might want to check into is the camping toilets. i sometimes camp with just my kids and i am a coward of the outside critters at night. so i will not walk to a restroom (if one is even close by) at night. i have my potty inside my tent and i love it. it has been a life saver.
one other thing i would make sure you have is a good sleeping bag, (right hikerchick). LOL
make sure you seam seal/rain proof your tent! good sleeping bag. you will be dry and warm. you have a stove and pan and utensils, so you can cook and eat. make sure you have a flashlight and potty, and you will have a great time with the basics. LOL
oh i just thought of one more thing, my hubby is the firestarter. but when he does not camp with us, it is left up to me. i will not try starting a fire for hours (like he does). so i have a box of firestarter packets. i have had no problems starting a fire at all.
a couple more things i just thought of. a small dustpan/broom for cleaning your tent before rolling and packing it away. a towel for your tent, incase it gets wet or damp. you want to pack it away dry and clean.
one of those rubber like mallots with a hook at one end for thumping in your stakes. you also might want to look at a good set of stakes in addition to what comes with the tent. i have lots of stakes and you just never know when you need extras for something..clothes lines, or extra tarps over something, extra rope, campers knife with maybe scissors.
a small first aid kit.
something to clean you dishes, pans etc. you can get sponges and add dish soap to them let them dry and stick in plastic sandwich bags. then you won't have to worry about bringing a whole bottle of dawn(or whatever brand).
bring some plastic bags, like sandwich bags, for toothpaste/toothbrushes, soap, whatever. and maybe some larger bags like garbage bags, for garbage, or wet clothes or dirty whatevers.
have a great first trip out! and can't wait to hear about your trip.