I use Hornady dies for about 95% of the rifles I load for, and have had great results with them. For the price and for hunting rifles I find them hard to beat. Some folks prefer the Lee, some Wilson, and so forth, but are generally shooting custom rifles. I am generally loading for off the shelf rifles and most of the loads I have worked up in them will shoot tighter than I can hold them.
I have used Federal cases in a couple of rifles and found them to work fine for most mid ranged loads. If I am knowingly going to work towards a top end load however, I will generally try to get hold of Winchester cases. I haven't loaded for a 7-08 but do load on both sides of it in .243 and .308, and in both cases I have a few loads which do well Rem, Win, or Fed cases. The main thing is to keep them trimmed and sized accordingly. I have generally lost them in the field before wearing them out.