Most machine shops are reasonable for a simple hone job. They will also check your cylinders for taper. The finish you need depends on the rings you plan to use. Simple cast iron rings require a fairly rough cylinder surface, and take a correspondingly long time to break in.
If you are using molly faced rings, you want a very smooth cylinder wall, final honed with a cork hone, and break in time is usually a few minutes. With replacement moly rings in a decent cylinder that is round and not worn, you don't even need to re-hone.
Chrome faced rings usually take a medium finish.
If you follow me here, cylinder finish is an art. I am an avid "do it all" kinda' guy, but I leave the honing to my trusted mechanic to get the surface I need. The only exception is if I am just doing a ring change on a low mileage engine.
When you first said 4 rings, I was thinking like a diesel...with 3 compression rings and 1 oil. That double oil ring is interesting. I would think it is a heavy piston, looking at the picture, so you may want to limit RPM to whatever the Vanguard recommended. Just a thought.