Full-rim glasses, especially in the nerd-chic look, are very popular. They are generally more durable than half-rim or rimless frames. Your Rx may be too strong for half-rim or rimless glasses, so full-rim would be your option.
Half-rim frames are great for people with slim faces. They show more of your face than full-rim frames, and are more durable than rimless glasses.
Rimless glasses are great for people who will treat their glasses delicately, and who want their glasses to be practically invisible on their face.