Axum is certainly where it is at and where it has been for a while in terms of HTTP server frameworks. I'd say actix is in second place for sure, but it is wholly viable regardless. Rocket is no longer in the running as far as I'm concerned, and it hasn't been for quite some time.

Dioxus is certainly taking the head spot in front end. I still have more concern about the venture backing than I have confidence about it, but for better or for worse, it is certainly the best attempt at this so far. I enjoyed yew as a react-style framework, but its development is slow. Dioxus has made a lot of progress, and in my experience, it is currently the best experience that can be had.

It's hard to say if now is the correct time, but I'd be watching it closely if I were you. There's been major work to improve the framework with many of the interfaces changing. Now might be a good time because of the progress made here, but I wouldn't be surprised if there were more changes in store. Although I imagine that you're used to that from bevy anyway.