[Paperboy]

I'm a snow flake that stays in the Villages for 6 & 1/2 mo. (Nov.-May). My problem is weeds in my flower beds. I had them weeded 6 wks. & need them weeded again. I put down 5 yr. warranty black fabric last yr. & the weeds (Bermuda grass) grows right thru it (I have pine needles on top).
This yr. when I come down I thought I would pull back the pine needles, black fabric & put some PREEN down. THAN put the black fabric on top of the PREEN & ADD ANOTHER LAYER of black fabric (would have 2 layers) & than put pine needles on top.
Any BETTER IDEAS to solve or hinder my weed problem?