All great answers to a very common problem.
I myself don't play the low E like danspr, mainly because it fits into what I like (sounds OK to me)
Keep in mind your next chord and the chord before as you want to be able to get to the next or get from the previous chord easily, and if using the same shape for placing your fingers then your music will flow better and more quickly as your fingers "learn " these new shapes.
Jessica<3 is correct in using the Chordie tab page as you can refresh the page to get your variations as you need them ... but be aware that you need to fit the sound of your chord into the pitch of your song (I do anyway, its an ear thing) If you can stay in the same relative area on your fretboard its best to.
As Jerome says "It really is the jumping off point for the next level of playing for you. It will open up the neck."
Stay with it and one day it will just happen and you'll be the one doing the advising thinking "this is so easy"
Lastly, there's heaps of advice available here on CHORDIE, just ask.
All the best mate