The frame choices affect how thick your lens is referring to your prescription. Good frame choices can make your lenses more fashionable and functional, especially for those who have high prescriptions. 
A change of frame's shape and size, lens index, and material can make you feel your prescription off sometimes. Changing to wrap-around frames can alter the curve of the lens and take you longer to adjust to these frames.
Lens thickness relates to frame shape and size, lens choice, and your prescription. If your current glasses are fit, we recommend you stick to a similar frame shape and size. But it doesn't mean that you cannot select an over-sized frame. You can still get your new style with a higher index of lens choice.