The very top part of the draft, where teams trade up one or two spots, is very difficult to predict. Often those teams give up way too much to target a specific player, and you really never know which player they covet until draft day.
The teams to me that are generally well-positioned, both in terms of draft picks owned as well as ability to target (only) one player, to trade up a significant number of spots would be New England (2 first rounders) and Chicago (3 picks in first two rounds).
BTW, forget about the Redskins trading up. They only have 1 first day pick, the 1.06, so there's not much to work with there.