Shibui is right, you really don't need a special saw to cut the roots. I have actually used a saws-all to cut the root ball on nursery azaleas or just a standard yard pruning saw from Home Depot. Like here:
https://www.bonsainut.com/threads/another-nursery-azalea-gets-a-chop.19187/ . If it was in a nursery can and healthy, you can cut 1/2 to 2/3's of the roots off, cut all of the branches back to stubs, and it won't skip a beat --azaleas are actually a lot tougher than most would think. I don't know your experience level so my advice, to be safe, would be to put it in a larger pot (you could even use a cut down nursery pot) and just back fill with soil, not disturbing the roots anymore. Just let it grow this year while you study-up and then reduce the roots some more next spring.
You actually don't need to waste money on kanuma, they will grow just fine in a lava, pumice, and pine bark mixture or just lava and pine bark. I have been using this mixture for years and have never had a problem.
Some pictures of what you have would really help get you some extra advice and also update your profile to include your location, as some advice may be location specific.
John