I recommend eglot personally, but I think a lot more people use lsp-mode than eglot. I will say that I’ve heard that lsp-mode’s codebase has been almost entirely rewritten in the past couple years and is much cleaner now, but that’s pure hearsay.
I don’t maintain lsp-julia personally any more (@gdkrmr has been doing a good job of it); the only reason it’s still under my github is to avoid breaking links.