HOOK'N UP FISHING charter - 954-397-1336. The Boynton Beach fishing has been great for the last few weeks with steady catches of kings, Mahi, sailfish, bonita and blackfin tuna. We have caught fish on all of the last 15 trips we have had and everyone enjoyed the fishing. Fishing Charters. Charter Fishing Report Boynton Beach - MAY. Charter Fishing Report Boynton Beach - JUNE. The Boynton.