More than likely, your dog is readier for travel to Palm Coast than you are. The only requirements are that his collar bears ID and proper registration, and that you bring proof of rabies vaccine. You'll find that pets are welcome in many places, however they must remain leashed unless otherwise stated (such as at the fenced local dog park, details below). This link will point you to area dog parks, for all your trip activities.
ALOHA CRITTERS OF PALM COAST
Pet-sitting and dog-walking – very convenient if you're taking a day trip or planning a full day of golfing.
JAMES F. HOLLAND MEMORIAL DOG PARK
A new, fenced dog park open from 7 a.m. to 11 p.m. daily.
BANFIELD PET HOSPITAL
SAFE HAVEN VETERINARY HOSPITAL