I have only used Jekyll in the past but I would try Hugo nowadays since it's the "brand new stuff" (only because it's written in Go). Jekyll hasn't been abandoned which means that both are good and I'm sure they have the same set of features.
As for using GitHub to host it, it's still free and you can use a custom domain which is nice.
As for using GitHub to host it, it's still free and you can use a custom domain which is nice.