If you want to explore from Bridlington this ticket offers good value. After 08.45 unlimited travel on a round journey -Bridlington - Scarborough - York - Selby - Hull - Bridlington ( or reverse).
1 day £22.00, railcard £14.50, child £11.00.
Ask at Bridlington station or see website.(2013 prices)
To get to Bridlington you can take a Coastliner bus from York (the ones to Scarborough sometimes go here too), Hull or Scarborough. Once in town, these little fellas wait for your children...