I'm doing a reanimating biome and loving it. The only real drawback is that butchering is always a pain because the skin and hair will reanimate and interrupt workflow.
Equip your dwarves with silver maces. Everyone should be fully armored and at least partially trained. I used 85% maces and 15% axes. Don't waste time on markdwarves. Fully armored dwarves are pretty much impervious to smaller undead. Only the miners and woodcutters should run around unarmored and vulnerable, because they must.
Outdoor battles are best. Indoor battles produce miasma while you're waiting for all the reanimation to finish. When faced with a battlefield of corpses and body parts, remember that you can use the stocks menu to see how many un-mangled parts are still sitting out there.
Once you have the surface cleared, build atom smashers near likely battlefields. After the battle, camp a squad on the corpses and wait a week or two while they reanimate. Once they're almost all mangled, start unforbidding the body parts to summon the civilians to carry them to the smasher.
Cavern control is a priority. You probably have hundreds of undead crawling around down there, draining your FPS and occasionally spamming your combat reports. Kill them, atom-smash them, and control the edges.
If you haven't built a fully protected trade caravan tunnel, build one. Caravan guards and visitors will get killed bringing spears and crossbows into your reanimating biome, and you have to clean up the mess. I quickly turned off all visitors, because they're mostly just book-stealing FPS parasites.
44.10 is broken regarding stress, even before you get cascades of horror and vengeance from reanimation. Until we get 44.11, DFHack's remove-stress is essential to avoiding fortress-wide madness. You can also use
this thread to build a stress-resistant squad to camp the battlefield until everything reanimates and gets mangled.