That's a pain in the ass.... I'm pretty sure you'll need a soldering iron to complete it. You'll also need an iPhone tool, which might come with your battery. Usually they'll throw in the little tool with parts you buy like this. The kit is something like this:
The little green tools specifically are important. Without that, it's a real pain to separate the screen.
Here's a step by step guide I found:
Here's a video showing almost the same thing: