August is really muggy.
We avoided mopeds with kids. Streets are tight and wind around. No room for error entering the rotary going clockwise.
Beach. Golf (some nice courses). Ferry rides in the sound/harbor.
The dockyard has a nice miniature golf place.
http://www.fungolf.bm/index.html
Cabs will be expensive and hot. Most we experienced (we went last year) do not turn on their air conditioning.
Have stayed at Elbow Beach and South Hampton Princess.