Some of the ways you can tone up your abdominal muscles, arms and legs without any exercise equipment are:
Doing crunches, push ups, and squats regularly
Running with help build muscles in your legs and thighs
Lunges and squats will further help build muscles in your legs, thighs
Push ups will help with your arms and shoulders.
Crunches and planks will help with your core and abs
Curls can be done without weights
200 crunches and 20 push ups a day will help.
To tone up and exercise working out at home will take a longer time compared to working out at a gym, but is more convenient and allows privacy. Also, you should monitor your diet and exclude junk foods like soda, candy and oily food.