Excellent job Nan! If you want to know how to layer for quilting , after pressing, I duct tape my backing wrong side up to my floor, but since yours is smaller, you may have a folding table it would fit on. I pill it tight and tape. Then I lay my batting on top, smoothing it out. Then the ironed top, right side up, and pin, pin, pin (with quilting safety pins-not straight pins!-lol)
I like stippling or meandering so you could easily quilt it like that all over except stitching close to the designs, words, not over them. It would make the un-quilted design puff but hold your layers together well. You could also stitch in the ditch of the sashing strips and stipple inside the blocks, but that would be more trouble.
Let us see your finish, because whatever you do, will look good. No set rules. Do your own thing. It is so sweet and I am tickled you are quilting!!!
Well done Nan, especially for your first quilt. I'd do a meandering stipple design or as "justonlyme" suggests stitch around each block. Love Chris
You did a fantastic job! I'm sure that it will be a treasured gift!! For quilting, you could tie it. Check your batting instructions for how far apart you need to secure it, but a tie at each corner of each block should be sufficient. I like using pearl cotton instead of yarn. Or you could stitch around each of your blocks. Or you could do a meander all-over quilting, like puzzle pieces. Or swirls. No matter what you do, it will turn out great. I've heard that the washable school glue (dotted all over each later and all owed to dry in place before moving it, will work well and doesn't gum up the needle. I use safety pins to pin baste mine, as I'm an avid quilter, and like do quilt using my home machine. No matter what you do, it will be wonderful and loved.
Your crib quilt turned out beautifully. Excellent work for your 1st attempt at quilting.