Answers to Pucon questions:
Paddles: My favorite is a Seven2 kayak paddle in kid size. It's been great for my kids to learn with. After my older boys outgrew that they moved to regular Werners, mostly because that's what I had available. I liked the AT Grom kids paddle but I don't think it's made anymore. I also really liked the Sawyer kid sized WW paddle - I don't see it on their website anymore.
Skirts: Here's a link to the Snap Dragon skirt with what they call the Safety Off Strap. It makes pulling the skirt easier - when you lift it pulls the sides in (vs. pulling front up/back) - and is super easy to find when upside down. I have an IR skirt with the safety off strap, though I don't know if IR is still making them.
Kid Trek Snap Dragon
For really young kids and/or kids who are beginning, I've used the Touring or Rec type skirts that have a nylon deck and bungee cord and fit the kayak very loosely. The skirt I have also has a safety off strap. This type of skirt helps keep the water out, but as long as it doesn't fit the cockpit rim tightly, it will all but fall off when the kayak is upside down. I used one when I'd take my kids in the double kayak when they were little and may not remember to pull. Because they weren't snug in the kayak, when it was upside down they'd fall out and take the skirt with them without having to pull. My wife and I tested that out in the pool a number of times before I took them on the river.