Mike Zito
Google
This palm arboretum along the ocean front contains over 800 specimens consisting of 235 different palms and 100 different cycads.  It was established in 1975 by Gizella Kopsick and has grown over the years from several purchases and donations.
There are specimens from many countries including Cuba, Jamaica, India, Mozambique, Madagascar, and many others.
The arboretum is in 2 sections with a grass area between them.  There is about .5 miles of brick paths, benches, water fountains and rest rooms.  There are  beautiful views of the ocean.  The arboretum is about a 20 minute walk or 5 minute drive  from the St Pete pier.  Big parking lot if you drive.
Entry is free as is parking.  Highly recommend the beautiful walk on the paved path along the ocean.