No, kids are not invited to the ceremony or reception. Bring them down for a few days of fun on the beach though! Contact Taylor or Rich for a recommendation on a babysitting service!
If you plan on making HHI a vacation, it would probably make sense to get a rental car to get around without having to uber/lyft (which can be tough to get) everywhere. If you are just coming for a couple days for the wedding and are staying at the Westin or near by, you can take the Breeze Trolley (or bike/walk!) the places you'll need to go.
Savannah, GA: 32 miles, 45 minutes Charleston, SC: 98 miles, less than 2 hours Tybee Island, GA: 48 miles, 1 hour Atlanta, GA: 280 miles, 4 hours