Eat carnivore. Beef. Red steaks. Scrambled eggs if you want. Not complicated. Feast on your refeed days, but only carnivore meals. Keep it simple. No cheating at all.
Do pushups when starting. Build up the total you can do. Then figure out more to do when you can do 200 pushups a day no problem.
Walking is amazing try to at least get between 10,000 to 14,000 steps daily. Walking has been shown to not increase hunger unlike other low intensity cardiovascular activities. Eat the same thing on your reefed days. Working out should be individualized and relevant to your fitness goals. Sit down and think what do you want to achieve by working out. Full body and compound body weight movements are great for beginners.