Pay off or buy more?

[William Alvarez]

Hey guys, I am new to BP, but am very impressed with the amount of experience and knowledge on this forum. I have two rentals that are paid off and cash-flow $1250 each. I recently acquired another one that should produce the same monthly income. I put 20k down. These homes range between $85-120 in the Houston area. My question is should I continue to try and payoff the rentals with my business income as fast as possible, or just let the house pay for itself. My original goal was to payoff a few and then let the paid off income snowball into the new ones until each one was paid off and repeat. It seemed like a good plan to me, but I see on here that a lot of BP'ers seem to acquire as many as they can. My method seems like a slow one. Is there any benefit one way or the other? Any advise is welcome.