When quilting placemats I usually use flannel or muslin for batting, so they are not too thick - glass tipping when placed on edge etc. I also do not bind, but when the top is finished I cut the muslin and backing to size - same size. Place the top face up, back face down on the top and batting on top. Stitch 1/4 inch seams all the way around, leaving an opening to turn. Then turn, press and edge stitch all the way around (1/16 "?). Press again and quilt.
This is probably more than you want, but just thought it might be helpful.