1963 Valiant 273/60 amp altenator Wire Size

All

I took the dash apart and found burned wires, surprise.. I want to rewire the main power coming off the battery and alternator and the heahlights and taillights. I plan and using relays for all the lights. What size wire should I use for the lights and what size for the main power from the battery and alternator. Yes I am going to bypass the amp meter.

Thanks
Bear