The way you are doing it is called birthing (turning inside out). May I suggest you 'self bind'. Lay your layers out as you would a 'regular' quilt you are making. Have the backing about 3" bigger than the batting and the front. (I would run a row of stitching around the edge at this point to hold everything, but not absolutely necessary.) Fold the extra backing over twice towards the front to create a binding, then stitch. Fold it in half (1 1/2") then fold onto front for 1 1/2" binding and stitch it down. Then you do not need to topstitch, you have a larger binding to hold and perhaps not pull and stretch and the batting is inside instead of next to feeddogs and being pulled. But, you do not have a separate binding to come loose later on. It can withstand a lot of use. I often use this technique with my very young students on their first quilts - quick, easy and it always works.