You can choose the smaller framed eyeglasses because smaller framed glasses have thinner edges. Just take your glasses back to your optician and tell him your problem. Your optician will recommend some smaller framed glasses for you to choose.
There is no way to make them smaller if they are already made. The only choice is to get a new pair with small frame and it will make the edge of lenses much thinner. The lenses of their glasses are thinner in the center and thicker in the edge of lenses. That's means the bigger the lenses are, the thicker the edge of the lenses is. So, big glasses frame will make your thick lenses noticeable.