If you want to taper shafts on you lathe, you need a taperbar setup, the cost is not that big. Butts you can taper by ofsetting the tailstock. Allmost all 12x36 or bigger lathe comes with a 38mm through hole or bigger.
Steady rests are often included and a rear chuck can be made in many ways, if your on a budget and a novice, machining a rear collett system from delrin isn't too hard.
The point is that with a metal lathe, you can build almost everything you would need to the lathe, with the lathe.
Thanks for all the info. Do you build cues too?