I had HUGE skin removal surgery a year ago, and was "sat down" for 3 months with an exercise ban. I had another three months where I was still not able to really do anything. I gained weight, and quite a bit. I have another surgery coming up, and my plan to avoid this again is fairly simple.
Work out as much as you can up to the surgery. More muscle burns more calories, and they don't disappear all that fast.
Then, when you can't workout - set your activity level on Fatsecret to "Sedentary". Follow the plan. KEEP COUNTING, but make sure you don't go too low. Your body needs fuel to recover.
In regards to what muscle building exercises burns fat - THEY ALL DO!
I wish you good luck with your surgery, my friend.
"Losing weight is never about eating as little as possible"
"You wouldn't worry so much about what others think of you if you realized how seldom they do.
― Eleanor Roosevelt
"Do. Or do not. There is no trying."
- Master Yoda.
From October 4th 2010 to April 3rd 2012 I lost half my body weight - 80 kilos/170 lbs. Since then, I have had two cosmetic surgeries to remove excess skin. I have now quadrupled my strength, gained several kilos in muscle mass, and today I focus on building muscle, optimizing my diet, and living healthy. I am stronger, healthier, thinner, happier!