No more squeezing! You'll just push the infection further down. If you want to bring it to a head, heat will help (but make it sorer in the meantime).

Anything antibacterial and anti-inflammatory will help. Tea tree oil is definitely a goodie.

It might sound strange, but calamine lotion is also great - it soothes and reduces redness. I have an excellent Mario Badescu spot treatment that has calamine in it, and it works like magic.