I picked up the larger piece a few days ago and something told me to look through some of my earlier found pieces. It's a good start - I'll be lookin' for more.
I mainly use Hammer tite (Hobby Lobby) and sometimes Zap-A-Gap. Both are super glue type adhesives. Use sparingly in spots where the puzzle pieces fit firmly. With the hammer tote you have 10 seconds and it's glued so make sure you know exactly how the pieces fit.