I can't remember how much you have been running, so please ignore anything that doesn't apply.
Ten miles, in my opinion is a great distance! There are lots of half marathon plans that only go up to 10 miles with the assumption that you can do the last 3.1 (the whole excitement of the race, etc). So you could easily follow a half marathon training plan.
So if you find a training plan you like (try Galloway or Higdon), you can adjust for the slightly shorter distance. Start back from the race date to see how far out you need to start the official training. Until then work on getting a good base. Ideally before you start your "official" training, I think it would be good to be regularly running 3-4 days a week, in the 3-5 mile range. But that's just my thoughts.
I only run 3 days a week, but I usually workout (when I'm not injured) 5 or 6 days a week. It is really important to take some rest days. I would think that 3 -4 runs a week and a day or two of strength/cross training would be great. Runners World had an article recently about the importance of strength training in running. And I also read an article about how important core strength is in preventing injuries.
Make sure you are in good shoes. Make sure you are hydrating well when the weather warms up. Make sure you are respectful of injuries. It is much better to take a couple of days off than to run through pain and risk further injury. No ibuprofen before running--if you are in pain and need ibuprofen take a day off. It is ok to take if after a run.
Research stretching. Stretching prevents injuries, but only if it is done right. There are different schools of thought about stretching. Some say only before, some say only after, some say both. When healthy, I stretch after. When not healthy, I stretch the injured parts before and after.
See if you can find a local race just to see what it's like, especially if TOT is your first race.
Most of all have fun. I know you know this, but I love to run. I don't love every run, but there is something about completing those long distances--6, 8 , 10 miles, etc--that makes you feel so strong! It is a feeling unlike anything I have ever had before.
Hope this helps.

Pm me if you have any other questions.