I like to get out and ride both Pinehurst and Dyer trails here in Palm Beach County.
I'd suggest parking at Freedom park (off of Pinehurst Drive) to catch the trail head just south of the park.
While you can jump on Dyer Perimeter Trail at various points off the equestrian trail, I perfer parking at the western most parking lot to access the trail head boarding the Turnpike.  

Pinehurst Trail

Dyer Park (Perimeter Trail)

Palm Beach County Paved and Off-Road Trails

http://www.pbcgov.com/parks/amenities/bicycling.htm
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