How to buy cheap frames and use the lenses from old frame given that they will fit in?

I only know the width size of my lenses from the numbers printed on my current frame, and the frame shape.

Let's say my lens shape is wayfarer with 51mm width and 39mm height, can I match my lens with a frame which supports the exact specifications? Eg, Brand A frame has wayfarer lens shape, 51mm width and 39mm height; Brand B frame is the same. However, the cuttings for the lens might still be different given same height, width and shape, am i right?

Awww, I guess i will keep wearing the current frame then cuz so much hassle. Thought can use cheap frame and don't have to worry if the frame bends/breaks/out of shape if i wear like an idiot.