Yeah! Running is my favorite way to be by myself and work my body hard! (besides Cathe videos!) One of THE most important things to remember is that no matter how great you feel running the first few days (it is always easy to start) DO NOT overdo it! Weekly, raise your mileage no more that 10%!! So, if you start with a one-mile run - the next week your long run should be no more that 1.1 miles...VERY IMPORTANT! It took me about ten years and many injuries to realize that advice is true. Keep a journal to track your progress.
Also, remember to stretch out after every run. I view it as a treat to myself, not as a waste of time. Check out runnersworld.com, howtostretch.com, and coolrunning.com for some great stretching advice.
So, I am excited for you to begin. One more thing...get the right pair of shoes for your feet. Not all shoes are best for everyone. Go to a running specialty store where the people know what they are talking about.
OK -Have fun running!