DC versus 3 Phase

I'm getting really tired of changing belt pulleys and want to change
to a variable speed system on my shoptask machine.

Can someone out there help me with the pros and cons of DC and 3
phase systems. I would probably buy the controller and motor on E-
bay, 220 v is no problem, single phase supply, want about 1 HP.

I thought there was a thread on the subject a while back but I can't
find it. If there is, perhaps someone can point me.

Thanks in advance
Jerry