changing 60 amp outlet to two 30 amp outlets?
Depending a great deal on EXACTLY what you have now and how it's wired:
Possibly you could replace your current 60A outlet with a sub-panel and put two 30A breakers in the sub-panel for your two 30A outlets. That will only be the case if what you have now has 4 separate wires feeding it (Hot, Hot, Neutral, Ground - also known as L1, L2, N, G) or 3 wires plus a continuous metallic conduit which acts as ground.
If this is an old installation without a separate grounding conductor, you can replace the cable you have now with a cable with 4 wires, 4 wires in plastic conduit, or 3 wires in metal conduit (the metal conduit acts as ground) and still place a sub-panel. In that case you might want to consider using a larger size of wire and a larger breaker to feed it, to allow for future expansion, if your service / main box will support that.