I have the Teton XXL cot, pad, and the Vista tent that goes over it. If you get this cot definitely make sure you get the pivot arm version, it's a huge difference-maker.
Bedding - I don't use a sleeping bag since I camp in such warm weather, I bought a Twin XL fitted sheet from Amazon that goes over the pad, and I bring a typical pillow and blanket from home.
Feet - I've used the cot inside a larger tent without damaging the bottom of the tent even without a protector underneath; you should be fine with the pad beneath. But I had a different concern: When using the Vista 1 the cot feet sit in the dirt and they can get kinda dirty, so I wanted to protect them from that for easier clean up when I get home. Teton does sell 20 dollar "cot shoes" specifically for their cots to protect indoor flooring, but I just don't think it's worth it. I went to Goodwill and bought a pack of kids socks (even better if you have old socks that maybe lost their mates in the dryer) and put a sock over each foot of the cot. Then I can just toss the socks in the wash when I get home. Just some thoughts you might consider.
Uneven ground - Can't weigh in here, I camp on leveled out camping pads in campgrounds so have never had to even things out. I can say that the Teton we are talking about has no adjustment capability.
General thoughts: I love the cot/pad/tent set. I am small (5'2") but I got it since I splay out like crazy when I sleep and hated feeling like I was "falling off" my sleeping pads; with this I can splay out and still be wholly on the cot. It's also nice to sit up in bed when waking instead of roll up off the ground!
Set up and take down are an absolute breeze. The only "issue" to factor in is it is not portable far from your car. The bag for the cot is heavy, and the pad is light but bulky.