Hi Sandoftime. I understand where you are coming from, however, you really do not require that much time, or money. It really doesn't take much more than 20 mins a day, maybe 2-3 times / week for resistanc/weight training to supplement your goal of running a half arathon. While the previous poster suggested a split, more advanced, bodybuilding routine, I would not recommend it. You are a beginner, and the weights/bodyweight training is not a means to itself, but rather a supplement to your stated goals of longer distance running. Here is a good link to an outstanding article to explain the wh's and how's.
Now, keep in mind, this is more than I would recommend. Simply strating with pushups/dips, pullups or bodyrows, with bodyweight squats, and some type of hip extension (SLDL) would be great. Also see crossfit.com. They use all types of different programs.
Eqipment, where DB's are great. Chairs and a long (5 ft) wooden dowel can be used for dips and bodyrows, dbs for the rest
Check out the link for over guidance, then come back to this site , specifically to the Exercise and muscle Directory to view acceptable substitutes you ca use with DB's and bodyweight.