Welcome to the SRP. Razors have to be honed after every 10-15 shaves (ballpark figure) but those are generally just light touchups. Pasted paddle strops are good for that but you can also do it with a Norton and/or a fine finishing hone. The hanging strop just aligns the edge, doesn't sharpen it as it doesn't remove any metal.

Short answer: Get a 4-sided paddle strop (with the apropriate pastes) if you can't seem to get the hang of honing.