There is good fly fishing action all year long. Mid July best bet is early in the morning, early evening or at night. Most of the beaches are bathing beaches after 10:00 am. and no fishing is allowed at that time. There are a few spots at Higbees beach and the ferry jetties where you can fish when beaches closed to fishing during the day. Most of the stripers are schoolie size, with bigger ones caught here and there. Should be summer flounder, blues, croakers and small spike weakfish. I like to use Decievers for the stripers and clousers work great for the weakies and fluke. Blues hit anything. Not any super fly fishing stores, but Jims, and Bob Jacksons bait and tackle should have enought to get you by. Saltwater fish are not that picky. Chart/white, Chart/yellow, Green/white. are all good colors. I use lots of different colors and different styles and they all seem to catch fish. Floating and intermediate line should work well. Stripping basket is a must if you are fishing of rock jetties or the surf. It will make life easy.
If kids are not into fly fishing, bait will get fish for them on light spin rods. Even bobbers with bait work well around the jetties. There are a number of fly fishermen that fish Cape May and Cape May Point. Good group of guys and all willing to share fly information. I even fish the beach and jetties when I don't want to take the boat out and only want to fish for a short time.