MAGMUNpi,
Take your time researching which option is best for you. If you visit ishrs.org (click on articles and then find the one on FUE) you will get a great deal of independent information. Then, try finding a clinic that offers both options, considering a clinic that only performs one will promote that specific option.
The main benefit of the FUE is if you're going to wear a tight hairstyle (whether you're a military lifer or just don't want to lose the option of a tight hair style). When it comes to transection, the higher yield will be the FUT "strip" method considering you are separating grafts under microscopes compared to the FUE method which is a blind harvest (meaning you have to guide yourself by the direction of the hair when harvesting, not allowing you to obviously see under the scalp to find the follicle). BOTH methods leave scarring....a linear scar compared to small, round scars (round, small scar all less noticeable with tight hairstyles). However, if a patient is going to need more than one surgery, FUE might create a difused look in the donor area, compared to the Strip, being performed by a skilled surgeon, leaves one line but the rest of the area is as full as when you were born.
Just a few thoughts....good luck in your research.