Keep track of your opponents' choices and needs. If the teams around you have their starting quarterback and you still need one, do not rush into a QB selection. Take a couple of other players at other positions. Your top 6 selections need to be players that you can always count on to start. Kickers and teams should always be taken late in the draft.
Kickers are all pretty even and teams are very unpredictable.
If you take a player with a history of injuries, take a good look at his backup. An example would be to consider the Vikings' Scottie Graham if you select Robert Smith. Along the same line of thinking, try to pick your starting quarterback's backup late in the draft. If you pick Steve Young but not Elvis Grbac, you would have to fight for Grbac on the waiver wires if Young goes down. Know the bye weeks.