I agree - great place for skiing! Not really a great mountain for true intermediate skiers. But for beginners, the school is good and there's enough relatively flat stuff to get the hang of it. It's then a pretty steep step up to the rest of the mountain, and has enough to challenge just about anyone. You'll hear the locals say that it has the best in-bounds skiing in the North America! If you can handle double-blue/black at other resorts, you can ski most of JH! I've noticed that the double-blue at JH would be single-black at a lot of Colorado's Summit county resorts (Breck, Keystone, Vail Beaver Creek), so plan accordingly. I've skied just about my whole life, and all over the north-east, Colorado & Utah. JH is, by far, my favorite.
As the OP says, stay at the base and don't bother with the car rental. Teton Village has all the necessities, and a cheap town-bus is only $3, right out your door, and runs every 20 mins or so. If you're into Apres-ski, the Mangy Moose at the base is consistently ranked #1 or #2 in the country, and has live music, good food, and plenty of beer. If you're spring-skiing, the west-facing front is perfect for catching the last rays of the sun as it sets beyond Rendezvous' peak.
For a great (I mean GREAT) meal in Jackson, try the Blue Lion. A little pricey ($25-$35 entrees), but I think it's the best place in town. Being a ski-town, dress is casual too - jeans and sweaters are fine.