Never really was a "backpacker" but...
I've camped a bunch with the boys over the years, and I have found that a simple Dome tent is about the most practical tent you can get! They are relatively cheap (on sale) come in differant sizes, are free-standing, weather the wind very well, and shed rain & even SNOW very well!!!!!
I usualy use 2, one 8' X 8' for sleeping and a smaller 6' X 6' to stow our gear in. Once you get all of the "crap" out of your tent, you'll find it very roomy & comfortable!!!!!
I think you would find a good, small dome tent, would serve you well!!!
Good Luck on your hunt!!!!!