Probably more than most. The only 'must keeps' are: Tatum, Brown, Smart, and Rob. To a much lesser extent, I'd probably add Grant, PP, and Hauser to the list since they are so cheap and actually legitimately playable. The bottom of the roster needs a total overhaul, or at least a couple of legit minimum veterans. With no picks, I'd bring over whoever is more ready between Madar and Begarin.
That means I am perfectly okay - and even desire trading - Horford, White, Theis, and Nesmith. Those guys add up to quite a lot of salary and could give us options to improve our offense. If Horford were a few years younger, of course I'd be in favor of keeping him, but this is really our last chance to keep that salary slot.