I Don't Understand These Strings

[Alexonguitar]

I wanna try out some of these strings but I don't know which ones work better for different styles. Theres a lot of different gauges and I just don't know which ones to pick. I play a rock: Taking Back Sunday, Relient K, Audio Adrenaline, and similar stuff. I to throw in a rockin solo but not have a whimpy lower end. Let me know what you think.

Thanks,
Alex