Depends what 'clean up' means. Is it just dirt/dust/grime, or is there rust also?
My cleaning routine usually involves a good flushing with WD-40 first, to flush out most dirty oil & grime. It'll also loosen up any rust that might be on the surfaces. If the rust is heavy, I'll wrap the WD-40-soaked knife in a paper towel moistened with some more WD-40, and seal it into a zip-loc for a while (2 or 3 days). That'll loosen up much of the heavy rust on the surface. After this, then wash the whole thing in HOT water & dish soap, exercising the pivots while doing so (which hopefully works out any remaining grit in the joints). Then rinse in HOT water, and dry everything thoroughly. Re-apply just a little WD-40 to the joints to displace residual moisture and/or add your lube of choice.
If some surface rust remains after the initial WD-40 soaking, many here have recommended scrubbing with #0000 steel wool and either WD-40 or mineral oil.
