To La Palma there are not as many flight connections as to Tenerife. Be sure to check the availability before booking a holiday home.
As the prices vary solely depending on demand, there are great differences in price and they are all the more favourable the earlier you decide. Binter Canarias and Canaryfly offer connections between the Islands, i.e. from Teneriffa to La Palma or to El Hierro. Iberia offers flights via the Spanish mainland to the Canary islands.
An alternative to the flights between the islands are the high-speed ferries, which operate almost daily from the ferry harbour Los Cristianos at the southern airport and from Santa Cruz de Tenerife. See among others ferry connections.