I routed the edges with a chamfer bit. If I were to do this project again, I'd only do the top three edges of the end pieces--the edges most likely to peel/splinter from heavy use.
***If you want to stain your wood, now would be the best time. I liked the look as it is, so I didn't stain it.***
Then I sprayed polyurethane over every face. This is something I do recommend, but also not necessary.
I also coated the rebar with a rust resisting paint after cleaning the rust off with a wire wheel. I DO NOT recommend this--at least at this stage--before trying to squeeze the bar through the tight handle holes. Most of the paint right off and I wound up having to use the wire wheel to strip it clean again. Learn from my mistakes.