I cut my strips 2 3/4". Sew a little wider on the top and have plenty of fabric to cover my stitch line.
I hand stitch my bindings and I found that the first time I sewed a binding on (cut 2 1/4"), I struggled to cover the stitch line and also felt that it made the binding curve towards the back of the quilt. With the wider strip, it avoids the pulling towards the back. It works for me.