One suggestion if I may Ted, I make it a practice of disturbing any orchid being repotted as little as possible no matter what it is.
Clay or plastic pot?
If clay and the roots are really pot bound, just break the clay away and pot up just a little bit. Do not go a couple of sizes larger.
If plastic, you could use a sheetrock knife with a sharp blade and cut right through that plastic. Just be very careful to put it down on a steady flat surface. Then peel back the pot by prying away the two sides of the pot and then gently get the base of the pot away. This might allow you to disturb the roots minimally. then if you have a nice tight root system, just slide the whole thing into a slightly bigger pot. Add media and that is it. To try to leverage the plant up and out of the pot may be a bit too rough.
I have cut away plastic pots on some very root bound Oncidiums and Cattleyas and this has worked pretty well for me. Just a suggestion Ted.