I am an ocean person and find gulf side beaches a little tame- great for babies though because bottom is more level and they can sit way off shore and play in the water without waves. You can usually find different shells on gulf side so that is a plus, too.
I think both sides are beautiful-just in different ways.
I was about to post something very similar to this. It really depends on what you are looking for -- both are great, but very different.
If you are looking for
ocean, go to Cocoa Beach. Very good beaches, real ocean, surfing, etc. Also, depending on where you go on the Atlantic coast, there may be accessible offshore reefs which offer snorkeling or SCUBA opportunities. (The best reefs are in the Keys, south of Miami.)
The other thing the Cocoa Beach area offers, of course, is Kennedy Space Center, so you can easily do a full day touring KSC and splashing in the surf.
If you are looking for a
quiet, restful beach experience, the Gulf Beaches may be for you. Lovely beaches, warmer (sometimes too warm) water, almost lake-like except in really bad weather. Shallow, generally even bottoms -- great for little kids, but not for ocean swimming, snorkeling, etc.