Wiring in new wire at tail lights

Its my 64 Comet the wires for tail ltes has plug indeals, which are of no use. I wantto simple run new wries to the sockets I replaced. Each side of housing has 2 sockets with the 1157 bulbs with two filaments. My question is should I cut the wire and run in and out from the socket wire and on to next socket.. OR simply peel back insulation and splice into the long wire feeding each socket. I know my question is fuzzy!!!!!! I will solder the spice an tape with electric then friction tape.