I would suggest you look at Taig or Sherline. I looked at Taig, but a used one got away before I got an old Unimat. THe unimat is ok, but the old ones like he db200 and sl1000 run $500 and up. I believe a new Taig with what you need is in the $600 range.
http://www.taigtools.com
https://www.sherline.com
You will need a collet chuck, a diamond tool for comms, although HSS seems to work nice for me. A carbide tool if you want to cut/true stacks. For tires, you can cut them with something small and pointed, I.e. a small nail.
For tires, you will need either a flat sanding block and a way to hold it, or a rotating drum.
Bottom line: a hudy tire truer and a hudy comm lathe together cost less than the base model of a good small lather. So consider what else you need to do before you spend your hard earned money.
Avoid the cheap Chinese made 6in1 units. They will not do arms. They do not do anything precise. Good for practice on wood, or as a sander.