Oh, gosh-----if you can avoid tilling bermuda, I'd recommend you don't. That may not be possible for you, but I used my little tiller, and it just spread the darn stuff all over the place. Whenever one of those long strands gets chopped up, it roots and starts a whole new colony. I'm a rabid organic gardener, and I won't compost the stuff because it's so hard to get a pile hot enough to kill it. I have been known to burn it with a Weed-Dragon, however----either in the pouring rain, or with a good firewatch person standing by.....but that's just to knock down the surface growth. The roots and stolons will be 6-8" deep, and unaffected by the flames.
Remember the Disney Sorcerer's Apprentice when Mickey chopped up the brooms and every splinter turned into a new broom? That's what I always think of when it comes to tilling bermuda....LOL!