I just purchase a proven pair of angels for my 37 gal. planted column tank. Any specific things that I need to do ensure the fish continue to breed once they move to my tank? What do I need to do ensure fry survival? Can any other fish remain in the tank?
If they're a proven pair they'll be at it in no time. Sure, they need a little time to adjust to the tank but it won't slow them down much. Once they start they probably won't stop. If they lose their eggs or you remove them you can expect them to spawn again in a week or so.
The advice already given will definitely help but really you shouldn't need to go to that much trouble. One other trick you might try (though again this isn't necessary) is softening the water a little if it's hard where you live. Of course angels don't need this but in my experience it does help.
The most important thing to ensure fry survival is to feed them newly hatched baby brine shrimp regularly.
And from past bad experience... if they do stop spawning it's best to treat it as a sign that something is wrong in your tank. I ignored that to my detriment in the past and lost a breeding pair. If they're a young couple and they lose interest then something may well be wrong.