Any tips on stripping high gauge wire?

I am planning on changing male RCA plugs on RB 600 tonearm from stock Neutrik to WBT Nextgens.I have a Radio Shack wire stripper that goes from 8 to 18 gauge.I suspect that tonearm wire is even thinner than that.How should i proceed?My rack space prohibits me from making any mistakes ,i can only do one take on wire stripping, otherwise if i cut several times the cable wouldn't reach female RCAs of my phono stage.I appreciate your advices in advance.Thanks.
The only sure way to avoid nicking the copper (or worse) is to use a thermal stripper, but the insulation material would need to be suitable.
Buy a wire stripper that goes to 30 gauge wire. It will be cheaper than sending your RB600 back to rega if attempts with an exact-o-knife go wrong :-)