Running is a great way of losing weight, developing overall fitness and especially for exercising your all important cardio-vascular system, but it wont help you grow big muscles.
For that its got to be strength training. There are exercises that you can do at home, either using your own bodyweight (e.g. press ups), or improvised weights; but if you can join a gym then you will find equipment and advice to help you. Its a big subject to tackle in a single post - use a search engine to find out about muscle groups, resistance machines, cable machines, freeweights, exercises, sets and reps, rest periods, etc.
Nutrition is very important for strength training. Strength trainers eat small meals, but eat often - 5 to 8 times per day. They usually try to eat include good quality protein (e.g. chicken/turkey white meat, tuna, egg whites etc) in most of their meals. They also try to eat clean - that is to say, a healthy balanced diet with fibre, greens, good fats etc.
When strength trainers are trying to bulk muscle, they consume excessive calories. They usually empathise that you cannot gain muscle and lose body fat at the sametime. They then cut calories after a period of bulking, in order to strip off the excess bodyfat.
I think that we all have a lot to learn from the strength training lifestyle. Eating a balanced and clean diet - divided into several small meals per day, drinking plenty of water, and interlacing workouts with rest periods seems like a pretty good way of losing weight and maintaining weightloss.