Not a plan, just a bit of advice from experience making a takedown selfbow. Don't go overboard making a fancy contoured grip with center-cut sight window. A simple Hill style D-shaped grip with an arrow shelf added to the side will make the rest of the job so much easier.
Now cut the bow in half, at a 45 degree angle or more. Then start fitting the sleeves to put it back together again. Once that's done, then apply a leather wrap to the two halves of the handle.