The ideal time to repot is when those baby roots are just getting started - the chance of damage is much less, and if it occurs, there will be more coming because it is the right time. Once the roots get longer they are much more fragile and less adaptable. So don't think of them as "babies"! If you can repot just BEFORE the roots emerge even better. Fred Clarke suggests noting the potting date on the tag not as the date when you actually DO it, but rather several weeks BEFORE - the next time, you will be able to get a jump on the process before they even appear, knowing that they will shortly.
Again, put the side of the plant opposite the direction of the new roots (the "older" part of the plant) against one side of the pot, direct the active part toward the middle of the pot to allow maximum room for growth.
Here are some good basic notes from SVO about basic Catt culture.
Sunset Valley Orchids - Superior Hybrids for Orchid Enthusiasts - Cattleya Culture