I assume by reading your post that you don't have a thread injector. It is very doable to hand stitch an eye in your strap. Just use polyester thread and use two needles so you can do a saddle stitch. Stitch in about a one inch box then a x pattern in it. Done properly it will be every bit as strong as machine stitching. If you don't want to sew then a double overhand knot will work just fine.