If possible, get a lathe with a hollow headstock and jobs like crowning will be a lot easier
I have never seen a horizontal lathe that had a solid headstock. Are you referring to the large bore type? Like oil field equipment?
@MattL46-- If your in the NJ area you are welcome to stop into my shop and I will give you a tour along with a quick lathe lesson. I have 9 manual lathes here. I have 2 that are getting ready for replacement and would probably be fine for your use, but they are all 3-phase.