I'm running around looking for some device which will help me splice wires
together.

What is happening is I seem to cut into power extension chords on outside
jobs. I hamburger my way into cutting them occasionally, and need a way to
splice 'em together.

I'd like for it to be a way to not have too big a bulge in the line.

Right now, I use butt connectors and insulate the chords individually, then
wrap the whole connection.

Any better ways to do this?