You need to check DEC regs as fish go in and out of season, but if you catch and release or target pan fish, then the Peconic is pretty good, and so are the ponds at it's source. Check a map for Swan Pond, usually pretty good perch action and should be frozen over for ice fishing soon. Laurel Lake further east is legal for trout all year, as are the tidal portions of Nessiquogue,Carmens and Connectquot. Catch and release bass fishing at almost any pond, but you can't "target" them between March and 1st Sat in June. If you are not keeping any I don't know how they define targeting, maybe if you are with Jimmy Houston and a TV crew they might nail you. No DEC officer ever bothered me about fishing in "bassy" ponds in off season, but I don't keep any fresh water fish except trout from the parks which are stocked, I figure I am buying those fish anyway.
Grab a map of Suffolk, almost every little pond holds some fish. Many can be fished from shore, but a small tin boat,kayak or canoe will open up a lot more areas. Rapalas and small shiny tins work on most fish, I like the floating Rapalas because they give you a chance to float over weed patches, not so much a problem in cold months.
Striper77