Depending on how tight your chamber is you might be able to get away with just buying a neck sizing set, which includes a neck size die and a seater. Most virgin brass seems to be OK in terms of dimensions, but the best results are of course going to come from shooting factory ammo in your gun, processing the brass and reloading it, as the brass is now fit exactly to your gun. Full length sizing only matters if you are like me and have a range where people just throw entire piles of loose .308 cases into the range brass buckets for anybody to take, so of course I have to give them the whole thing.
The lee hand press works just fine, it's what I use for my loads, plus a lee powder measure and an rcbs primer punch. Pic related.