I just played with the small puzzle file that was included in the 
GUI. Here are a few examples. My 14 year old when he was a puppy and a friend’s son (he gave me permission to post).
I used weatherproof polyester labels that I got here.
They are laser printer only, but print up really nicely and adhere well. I have used them for full color car window decals and have had some that are going strong after 9 months. Draftboard is a great material for this. Super smooth and cuts well. I removed the masking on the board and set it aside, then applied the print and reapplied the mask. Burnish it down well. It won’t affect the print. My first try wasn’t stuck down well enough and peeled up when cut. My first little flare up and quick job abort.
The cost is about $0.50 per letter sized sheet, so not too bad for puzzle toys.