Those dragon blankets are adorable but I would leave the binkie strap off, but thats my personal preference. If you keep the length of the strap under 6 inch long it shouldn't be a safety hazard. IF you want to make some type of binkie securing device maybe try this free binkie bib pattern. These are super popular and so easy to make. Binkie Bib..... (you may need to sign up for a free account to access)http://www.sewforum.com/download/file.php?id=84866
Everyone else gave really great advice....not attaching anything that could easily fall off and become a choking hazard, definitely
use machine washable/dryable fabrics. As for types of stitching to use, I don't think it matters, but if its an item that will get alot of wear/play (lets say like a taggie blanket/toy) I will double stitch all seams to make sure its secure.
Here are a few item ideas that almost any parent would use/appreciate:
-Car seat cover (basically a blanket that straps on and infant carseat to sheild baby from the sun (weather)
-Wet bag (to keep wet soiled items contained in the diaper bag)