Hey Zac, you aren't doing a thing wrong, it's just not easy to do this at first. You are doing totally different and completely new things with each hand. You're going to want to be looking at both hands almost constantly at first, and of course it's impossible to look at them both at the same time, but you will probably feel like you need to do exactly that. At the same time your brain is trying to process it all at the same time. Your notes won't sound very musical at first either. You'll pick the wrong string half the time. If this sounds like what you are going through, welcome to the club!
You did ask for advice, so my advice is to just try to be patient with yourself first. Reset your expectations now that you are discovering that this is harder than it looks. Let yourself get better very slowly. Celebrate and let yourself feel good each time you make a tiny improvement, because it is all about gradually piling up one tiny improvement on another over a prolonged period of time. You aren't going to get it in a few weeks.
As tricky as the physical parts of playing can be, the mental challenge is easy to overlook. This is like learning a new language with a totally different alphabet. So, the notes are letters in the alphabet. Chords are words. You have to learn the alphabet and basic words before you can start learning to read and write this new language.
Now, despite the fact that I have given this same sort of general advice to several people, I constantly have to remind myself to be patient with it. I started learning just about 5 months ago and I keep getting frustrated, feeling like I should be a lot better than I am. Sometimes I go into a funk for a few days at a time, but one thing I will not do is quit. If I quit, then I am just another person that can't play the guitar! If I keep practicing, it may take a long time, but eventually I will be a guitar player! [br][br]
So, long reply, but the takeaway is you are in the same place everyone is at first. Stay with it.
Someone else will probably have much more practical advice than this, but I hope that what I am saying will help you feel better about what you are experiencing right now.
It takes as long as it takes unless you quit - then it takes forever and you will never get there.