Take a looksee over on Amazon, lots of LED bulbs and fixtures and many are fairly cheap. Wiring LED lights is one step more complicated than standard 12v bulbs, you just have to get the polarity right since they are diodes and wont work if the + and - are backwards.
They have small puck lights, recessed lights and my favorite, strip lights. Here are a couple of examples, they are all under 10 bucks each. Search amazon for 12v led recessed lighting.
I just picked up an exterior LED flexible light strip that I'm going to try and use right below the awning for 10 bucks that came today. It has a plastic coating on all the LED's and hopefully will be fairly durable and is supposed to be waterproof and I hope weatherproof. For that price I dont think I could go too far wrong. When installed it should look something like this
I've used the strip lights on the inside to provide a diffuse wall wash effect, here are a couple of photos:
Over the two side windows:
On the right, above the cabinet and below shining down on the counter:
I'm planning on putting the strip lights on top of all the cabinets to wash the ceiling with light and on the inside of the closets. BTW, use a microswitch to turn them on and off, not a magnetic switch. A microswitch can handle the current just fine and has a small throw. You can get these at Amazon or at a local radio shack or electrical parts store for a couple of bucks each. Even if they are rated for 110v, no problem all you have is 12v. Just make sure they are normally open when there is no pressure on the lever.