Even with a turret or single stage press, the same support discussed above helps improve load consistency noticeably. You'll read how important a consistent press handle pull is to have consistent results. If the press flexes on any plane, a perfect pull won't get perfect results.
My turret press is on a home made strong base with a 3/8" steel T-shaped base mounted with 3/8" through bolts. This is bolted to my small bench and supported directly under the press by a post to the concrete floor.. The rest of the bench top is just 2x4 egg-crate structure with corner posts, a couple of drawers and cabinets doors with face-frame construction.
