I managed to get some huge Terry towelling sheets on special offer for my Sister, she goes thro' heaps n heaps of towels. After cutting them to size I bound them just like I do my quilts and then over sewed the binding with the stipple stitch that I have on my machine, a stepped zig-zag stitch would do as well.
I noticed them on her washing line yesterday, still fine after 4 years of heavy wear and she loves the hooks I put on them :thumbup:
So to your question, NO you don't need a Serger just a bit of ingenuity :lol: