First off, you are in the right place. T-Nation has some of the best articles and authors you can find on increasing strength. The members that post on these forums also know their stuff. Although i have not posted much on this site, i have been reading it and using it as a reference for years.
So the first thing you need to do is familiarize yourself with what people may recommend (5x3x1, westside, thibs), that way if someone says something, you can at least have an idea of where to go to if you don't fully understand what they are recommending.
Onto the physical part of your post...
Read this article as a jumping off point if you are serious about increasing your strength. As someone new to strength training, you will be able to get away with a lot early in your process. Bad technique, poor programming, and bad dieting can still lead you to positive strength results early in your routine. But once you plateau, you will have to strip down everything you have "earned" and figure out why you can't get any stronger. You may be able to bench 315 in 6 months, but then get stuck at that weight for the next two years because you have no idea that you need to increase your upper back strength to get your bench growing again, or whatever the hindrance may be. You need to know as much as possible about each lift and each routine so you can set goals and make progress.
Find a program that fits your lifestyle; what you like to do. And work it hard. Practice your technique now and begin learning how to spot flaws. And most of all, enjoy the process, because once you start see results, it is hard to get out.
...oh yeah, start eating.