Here's a similar one that does provide all the design files that you can just send off to a PCB manufacturer:
It has a header for I2C communication with an external controller device (Raspberry Pi in their project) but you don't necessarily need to use that header. You can just program the ATtiny with a standalone program. They even have a picture where they cut off the I2C section of the board to make it more compact for that usage.
It should be pretty easy to design your own board like the one on the youtube video. Oshpark is a good option when you want a few copies of small board like this and it's pretty fast and beginner friendly. If you want a lot of these boards there are other services that are a better deal like DirtyPCBs:
http://dirtypcbs.com/store/pcbs