In terms of 're-stealing' pots, at 20bbs, we ALWAYS want to be re-raising our hands when we enter pots, unless we are completing from the blinds with a marginal holding. NO TRAPPING! In general, it is a good, aggressive approach to always 3bet when entering pots, as to isolate the initial pre-flop raiser, and thus strengthen our equity in the hand.
I think on a 20-25bb stack against opponents(usually deeper stacked) who are opening wide, our re-raising-to-steal range consists of most suited aces, ATs +, KJs +, the occasional suited connector, and pocket pairs 55 +. Of course, position and table dynamic are two very, very important variables to consider. But as a general rule of thumb I think these ranges are fine. You can widen even more against manic opponents who are opening every hand.
Simply put, we do not want to simply call against a deep-stacked opponent who has a wide range when we hold a premium hand or a hand with good equity. Many times these deeper stacked opponents will raise with suited connectors, suited Kings, and suited Aces, with the occasional premium hand. Because of this wider range and because our opponent is so deep, it is almost necessary to re-raise when we enter these pots, as the
odds are almost always in our favor, and their 3bet call percentage will be higher as they can afford to see more flops due to their large stack and lower risk of busting, giving us a better opportunity to chip up. Shoving is also an option when facing a raise while under 20bbs, but 20-25bb is a slightly tougher stack to play on. Shoving is still however acceptable on a 20-25bb stack when facing a 3x+ BB raise from a loose opponent, as it will be a profitable play.