Since you're 20 days postop I would expect that cooking and dishwashing should not present a problem for you after tummy tuck surgery.Of course I do not know your specific situation therefore you should consult your plastic surgeon for specific advice as to when you may engage in these physical...
Maan Kattash, MD, FRCS, FACS - Account Suspended says:
Diastasis is the separation of the rectus muscles. It is infrequently associated with weakness and laxity of other abdominal wall muscles. Exercise will tone rectus muscles and strengthen them, but as 2 independent units. Only surgery will unite them. Muscle strengthening exercises will...
If your concern is primarily to harvest fat and it's not an large amount of fat, then the changes will probably be minimal. But if you're doing it to improve the contour of the abdomen, then you should expect loose stretched skin to remain that way. It may not hang any more than it does...