From Calpe it is very easy to visit other places at the costa blanca. The ferrocarril (local train) runs between Alicante and Denia. Its only one every two hours but it works out fine.
The express train runs through the summer months taking you from the fishing harbour to the old town of Calpe where you can browse through the many shops there
To get around in Calpe you can use the services of the autobuses Ifach. Its also possible to go by bus to Moraira and Teulada.