Vico Equense and soroundings with toddlers


We are a group of 4 adults and two young girls age of 2 and 3 years. At the end of May we are going to Vico Equense for 11 wonderfull days! We will be staying near Marina di Vico.

We are going to spent majority of our time by the sea, with some day trips. Going to use public transport and DYI trips. Hoping to see Pompeii, Capri or Ischia and to go on a day trip to Amalfi.

Younger girl prefers to ride in a baby stroller. I was wondering should we take a stroller, or is it a bad idea having in mind hills and steps? As I understood we will not be able to see Pompeii with stroller, what about Capri and Amalfi/Positano? It seems, that stroller might be useful in Vico Equense (we will need to go up the hill to dine), but maybe I have a wrong impression?

We might be able to have another day trip, any recomendations? Maybe something fun to do for the kids?

And beach recommendations would be also very usefull. Is there free public beach in Vico Equense?

Thank you in advance!