UP CLOSE & PERSONAL!!! FISHERMAN'S LANDING is now open for WHALE WATCHING CHARTERS! Give us a call for more information. 619-221-8500. Just in time for the holidays, the migration of the California gray whales will soon be viewable to us Southern Californians. Whale-watching season, which typically begins in mid-December and continues through February (though sometimes the season stretches to March or April), presents the perfect incentive to get out into the water and see these creatures on their way south to Baja.