Don't be silly regarding soldering. If you don't know/want/care to solder them the old fashioned way with heat shrink tubing....Do it this way.
http://www.elecdirect.com/crimp-wire...k-16-14ga-25pk
You simply crimp them together like any other but splice and then heat it up and it solders the wire together and shrinks the sleeves without ever touching a solder iron.
https://www.amazon.com/Connectors-So...15854642&psc=1
If you don't replace the connections, it will eventually melt the new controller. As time goes by, they are getting more and more expensive. Next time will be even more $.