I do a lot of stainless, tube and pipe. The little swivel deburring hand tools are no match for burrs left by a chop saw. I just use a carbide bit on a die grinder to get the insides. I use the side of the chop saw blade for the outside burrs and to true up the cut edge. As crude as this is, I've churned out some pretty clean tig beads this way. When doing aluminum with a chop saw, before I weld I hand file all the edges. The chop saw will embed junk into the aluminum.
If your doing pipe, say for a turbo manifold, I use one of those round grinding stones on a 4" grinder to bevel my edges. Im amazed at how fast one of these will put an aggressive bevel on thick sch40 stainless. This same tool will also blast right through burrs.
Look into the dry cut saws with a material type specific blade. They look like a chop saw with a metal blade, but spin at a different rpm. They are pretty affordable and get similar results to a cold cut saw. They have almost a burr free cut, especially compared to the horrid mess a chop saw makes. Blades are expensive, but if treated right they can last.