Tape the edges, but also apply a line of paintable caulk into the edge of the tape. Smooth the caulk out with your finger, paint over the caulk and tape, and pull off the tape before the caulk tries.

DIYers looking for a paintable latex caulk that also aims to be as tough as a silicone product will want to consider DAP Dynaflex 230 caulk sealant. Buy individual tubes or this 12-pack ...