The Kayak Modern kayaks are typically low volume with flat surfaces that make the boat more responsive. Fitting the kayak to the paddler is key. Often kayakers use high density, closed cell foam to custom fit their boat. You should feel like you can wedge yourself in by pressing against the bulkhead. Remember, though, that it should be easy to get out.
Paddles come in various styles and prices range widely.
This is a good all around river kayak paddle design.