As Randy told me early on you can set a bevel on a 4k but it will take longer. OTOH, cleaning up the scratches left from a 1k won't be an issue. What I do is look at the edge under magnification and determine what I am up against to begin with. If the edge is reasonably clean I will go with circles and back and forth strokes on the 4k.

If it needs a substantial amount of work I will go to a DMT 1200 continuous plate or my Shapton 1k. Same procedure, circles and back and forth strokes with light pressure ( for setting the bevel). Once I feel I've got what I need from the circles I go to an x stroke ASAP. The angle of which will depend on the results of the marker test which is the first thing I do to see if I need to roll that x or approach with a 45 degree angle.

I would recommend the Naniwa 1k because Utopian likes it so well and I trust his judgment. I haven't got one myself. The DMT 1200 is a fast cutter but you have to watch it because you can go past where you want to go in a NY minute ... and that is a pair of seconds.