Bliplace uses ubiquitous CR2032 coin-cell batteries, which should be available virtually anywhere. The average power draw of Bliplace is well under 2 milliamps - a single battery should power it for around 150 hours, or a week of continuous use.
The Bliplace design is open-source, and all code and design documents are freely available via this web page. :)
That's Bliplace 1.0 on the left, and the new improved Bliplace 1.1 on the right.
1. They're usually available in the vending machine at Metrix CreateSpace in Seattle.
2. You can email me at tanjent (att) gmail (dott) com, and I'll let you know if I have any available.
Kits are $10 a piece either way.
Kits are sold out. I had 1000 boards made, gave away ~450 of them at various events, kept a few for myself, and sold the rest.
My friend Mark has cloned my design and has kits for sale on Etsy - Go buy 'em. :)