If for some reason you cannot get a gym membership, then you can do the following. All the equipment that you will need is a good pair of adjustable dumbbells that can be purchased anywhere. The first exercise is pushups.
Pushups target primarily the chest.
It also indirectly involves the shoulders and the triceps. Press your upper body back up to the starting position. One Arm Dumbbell Rows primarily target the back muscles with a secondary emphasis on the rear deltoids. Pull the dumbbell straight up to the side of your chest, keeping your upper arm close to your side. Lower the dumbbell straight down to the starting position.