Gosh, it is tricky! I find that
Julian Elijah has the better flow, but I'm not sure at all how important that is.
I like both names, but they are long enough to attract nns, and I prefer
Tim to
Jules. So I think I'd forget about the mn flow and go for
Timothy.
When I was a schoolgirl, our neighbour couldn't decide between
Richard and
Timothy for her son, and the lady doing birth registrations preferred
Richard, so
Richard it was. And until her dying day, his mother regretted not using
Timothy. So the moral of the story, if there is one, is to go for what you really, secretly prefer, regardless of all other issues, including adivce.