1) Don't increase your mileage by more than 1 mile/day. For example if your goal is to run 10 miles over the course of 3 days in your first week, your week 2 should not exceed 13 miles.
2) Proper foot ware and the surface you're running on makes a huge difference. If you really want to start a running routine, make sure you invest in a good pair of shoes, preferably ones with custom inserts.
Running on the sidewalk is the worst running surface. The harder the ground the greater the impact your joints have to deal with which means foot, knee, hip, and back pain for many after and during their runs. Try running on grass or sand as these surfaces are softer and incorporate the important stabilizing muscles.
3) Diet is important for overall health and well-being, but diet can also play a major role in injury prevention. Eating as soon as possible after your run, ideally within 30 minutes of finishing your workout is the best as your muscles have a higher capacity to absorb the energy and repair itself.
4) Never increase your intensity and volume at the same time. If you run a 10 minute mile pace for 3 miles, don't try and run 4 miles at a 9 minute mile pace your next outing. Either increase intensity or volume, choose only one.
5) Don't skip your warmup before running. Warming up before your run begins the process of vasodilation and starts delivering blood flow and oxygen to areas of your body that are about to be challenged.