I agree with Phil but would add one 10" nonstick. Eggs are hard to do otherwise!
If you cook a lot of a certain type of food (say you boil a lot of pasta) you'll want specialty items like a pasta straining basket. Give it some thought and take time to visit stores to look around. It's hard to avoid a case of the "gimmes", but start with fewer rather than many pieces. You may develop an interest in a cuisine which requires special equipment (wok, deep fryer, steamer, etc.), so keep an open mind.
Cuisinart and some other lines have various price points. If you don't buy a set (many of us warn against that), you can mix and match. Warn your roomies not to use metal tools on the non-stick, but I don't use metal tools on my stainless steel All-Clads either! I use wood, nylon and silicone only, and only nylon brushes or pads for cleaning- never Scotchbrite or steel wool!!