Help with home-based muscle building workouts?

Hey guys so I have been strength training for about a year now and I know that if I want to gain anything I need to start lifting heavier and eating right. I am 19, 5'7 and weigh about 112-115lbs now. A lot of doctors seem to think I need to gain weight and though I am not concerned with the scale I agree that my shoulders and arms look too boney. I would love your opinions on some great arm and leg workouts. I work and go to school and I don't have a ton of time so I prefer to do a split routine. Oh and I do have dumbbells and my house and plan to get a kettle bell. Thanks for the help! I appreciate it!