Sebastian Inlet is one of my favorite places! When I lived across the state, we'd drive there in the morning just to fish, and drive home that night. There are basically three towns near it. Melbourne is just south, Vero Beach is just north, and the town of Sebastian is west of it.
I used to fish constantly, and fishing off that jetty at Sebastian was THE most exciting fishing I ever did when the bluefish were running.
I'm sure there are slips to be rented in the Melbourne area.
Sebstian Inlet is about an hour south of me, about 45 minutes to Daytona Beach, and about an hour to Orlando. I always thought Melbourne would be a good place to live, big enough to have what you need without the traffic of the big cities.
One thing to be aware of is that inlet can get ROUGH! With an onshore wind, and an outgoing tide, I've seen fifty footers turn around rather than shoot the inlet.