Any tips for pepole going to the Eastern Carriribein?

So in July me and my family are going on a cruise and even though it's like 3 months away,I'm planning and researching things.The ports,room,activities,activities and I've made sure I know how many hours we will stay at each port,... ... ... Yes,I'm aware that I'm like a wet blanket (according to my cousin)and a Dipper (Why did you have to end GF?!?).Anyway im also curious to what I should wear.I don't want to wear shorts,and I'm okay with dressed,but what are good clothes to take?I'd really appreciate it if I could get some tips,thank you.(Sorry if I spelled anything wrong,I'm using my phone)