When my now 5-year-old went to daycare, she was a super drooler and I couldn't stand it when I'd pick her up and the whole front of her outfit was soaking wet. I put every mismatched and sometimes hideous multi-colored holiday themed bib I had received on her to keep her clean and dry. Lucky for baby #3, I refuse to make him look like a rodeo clown in a gigantic lobster bib. So, I created some small bibs in the same simple and practicle white style as the burp cloths for every day use.
This bib is good for newborns upto about six months, the height of the spit up and drooling months. It is about as easy to make as the burp cloth with a little more work on the snap ends. Here is a free pattern. It doesn't really need instructions, but if you'd like to make one or two and you're not sure how, here they are.
MMS Bib Pattern
white flannel - (2) 8"x8" pieces or 1/4 yard (if you find one more expensive than another, buy the more expensive one).
white knit baby terry cloth - (2) 8"x8" pieces or 1/4 yard (that's the fine stuff, not the towel material you'd want to use to dry a wet dog).
36" x 1 1/2" white knit (or as I would call it, T-shirt material, you know, the stretchy stuff) for edging.
A couple of ribbon pieces or pretty fabric scraps at least 7" wide
Stick to these fabrics and you will have a very soft-to-babies-skin, thin and effective bib.