Antigua in the morning?

I have booked an afternoon kayak excursion that starts at 12:30. Does anyone have any suggestions for what to do in the morning? I have a 3 yr old and 4 yr old who won't be coming on the afternoon excursion, but I would love for them to still get to experience Anitgua. Are any of the great beaches close to the pier?

Thanks so much!

Corinne

Thanks!