Lenox, I have a very compact frame, too, and it does make it difficult to get used to. I hate having a camelback on for long periods, so I have 3 bottle cages (one underneath the downtube) for long unsupported rides.
In addition to the good comments here about practicing, you could also try practicing on a trainer in your living room, if you have one. It is not the same as riding on the road, but you can easily/safely practice keeping your eyes ahead and going by feel to remove and replace the bottles while you are still pedaling.
Good luck!
"The best rides are the ones where you bite off much more than you can chew, and live through it." ~ Doug Bradbury