Do:
Develop your pieces -- get them all out quickly
Control the centre -- get at least one pawn in the centre and point your pieces there
King's-side Castle -- to get your King safe
Think about opening a file for your Rooks
Don't:
Move pieces twice without good reason
Move your Queen out early (because you will have to move it again when it gets attacked)
Make lots of pawn moves (develop a piece instead)