I'm putting some oak trim on some plywood cabinets I assembled, and the
oak is about 1/8" wider than the edges of the plywood. Rather than risk
trimming the oak on my old TS (risky because of a rather unreliable
fence), would it be OK to simply nail the oak onto the plywood edges
and then use my router (PC 893PK) to trim the excess down with a
laminate trimming bit?

If it is OK, should I use a 1/2" router bit or would the 1/4" bit I
currently have do a decent enough job?

Thanks!
Nathan