The question behind the bypass answer is why. Why did they get so hot?
I've put NachoRT's diagrams together on this page.
Those should help you figure out if they got hot because of a poor connection, a dead battery or other one time high draw, or if this (high current) will be the norm for your car.
There's also links there to a couple of different wiring solutions. You can decide which one is most appropriate for your set up.

I like soldering. That said, it has drawbacks and the terminal connections can be made better with good crimps. The terminals are mostly 'packard 56' sometimes called 'delphi 56' open barrel connectors. These can be purchases new if needed. Just be sure to get the correct size for the wire gage.