http://www.onceuponaquilt.com is on Griffin Road, between 95 & the Turnpike (but check with a local on directions because it might be easier to go on local roads from Weston).
Going south, the only quilt shop is all the way down in Miami:
http://www.thequiltscene.com
Heading North:
The quilt shop in Coral Springs (Jamie's) recently closed.
Sunshine Sewing in Margate is the largest shop in SoFla (over 8000 bolts). It's a quick ride up the turnpike for you.
http://www.sunshinesewing.com
If you want to travel a bit further north, there are a few shops:
West Palm Beach
http://www.MyQuiltshoppeFl.com (Okeechobee Road/Jog Road)
http://www.ButtonwoodQuilts.com (10thAve/JogRoad)
And even further north:
Jupiter
Quilters Choice (Indiantown Road/Maplewood)
Stuart
http://www.JamPatch.com
You can pretty much find a Joann's every 15/20 minutes regardless of where you're going.
Like many shops all over the country, some seem to be rather "lacking" in inventory these days.
Sunshine has the best selection, but I also really enjoy The Jam Patch (also an easy ride up the turnpike). Both have a good and constant stream of new fabric.
I hope those links work for you.
Enjoy your stay in SoFla.