Everything that has been said is great advice. However, I'll stir the pot a little.
I am about a couple of weeks of finishing my Army contract and will be attending ATP flight school in Mesa, AZ to finish up my certificates. I am being financed for the program through Sallie Mae. Being that I already have my PPL, it is saving me some money and 3 months of time. This is an accelerated, pilot factory type of flight school. I completed my PPL in just over 2 months and took my checkride at the FAA minimum 40 hours. This was all self-paced and a very efficient way of learning for me. Also, is one big reason why I'm choosing ATP to finish my Instrument - CFI. Just in anything, there are people who dislike this kind of program, and there are those who dislike the Part 141 College path as well.
I do not have my bachelors yet, however, once I finish flight school I will start using my GI Bill to finish up my associates, which isn't much then on to my bachelors.
If I would have known 6 years ago what I know now. I'd of never joined the Army with a 6-year contract. I'd of went with a 3 year contract that would have minimalized my time enlisted. Once I saw how the life of an Army aviator was, I did a 180 away from that thought process. I went in thinking I was going to be an Army aviator. I then realized that the Army get's in the way of actually flying. Though, C-12s(King Air), or rotary UH-60s would be fun to fly. I'd prefer to get my ratings quickly and build my time. Then get to an airline ASAP to start building seniority.
ATP isn't for everyone, and I'm sure there will be things about it I won't like. However, after talking to many people who have gone there it made my decision that much easier.
If you did consider military for flight training, go for the Air Force. MUCH better way of life, and I think the transition to airlines is much easier for them with the turbine time they get. (Someone with experience can chime in on that)