Atlanta, Chicago, Jacsonville, Miami, Tennessee and Washington all don't have a 2nd round pick. Chicago doesn't have a 1st or 2nd round pick. After Miami made a move to get Marshall and unload Ginn, I suppose they could make some more noise by moving up. I don't see any other of the above teams' GMs making a move to move up, perhaps new Titans GM, Mike Reinfeldt, but he may decide keeping the waters calm is best right now.
Carolina traded up in 2009 and 2008. Dare they do it again? They don't have a lot of firepower to do so. Based on their VERY quiet off-season, I think GM Marty Hurney and Co. will play it safe with what they have with the potential lockout looming.
Dallas (Jery Jones) is known for draft-day moves, but they only have 6 picks. They may get an offer they can't refuse for Marion Barber, but that's a longshot, especially because they just paid him a bonus. If they wanted to trade him, they would've done so before the bonus deadline. Dallas needs lineman on both sides of the ball as well as secondary. No glaring needs at the skill positions. They may play it safe and go with their current picks.
Philadelphia has two picks in each of the 2nd, 3rd, 4th and 7th rounds. Depending on several factors, they could move up to get Kyle Wilson, Earl Thomas or even Eric Berry if he falls past Cleveland at 7. Houston at #20 could be a potential trade partner if PHI thinks their guy will be gone when they pick four picks later. HOU would then take Philly's #24 pick and use it to get a RB, possibly Ryan Matthews, who should still be available at 24.
Other potential teams that could trade up, that have stockpiled picks to do so are PIT, NE and CLE. PIT has four 5th round picks to move up, NE has three 2nd round picks that likely will be dealt for a player or trade that is too good to pass up. Look for teams to be calling NE early and often. They will have the opportunity to handpick which deal is best for them. Don't forget about Cleveland. They have three each in the 3rd and 5th round, plus two more in the 6th.