From a practical sense, ActivityPub may be the obvious choice as it gives easier interop with the largest federated platforms.
But what else? There are existing platforms built on these protocols, such as movim for xmpp, and another for matrix I forget.
From a technical standpoint, are there any major pros and cons?
I think XMPP is a nice supplement to ActivityPub instances for more private chat. You can quite easily hook the user database of Mastodon or Lemmy to an XMPP server and have the same user address work for both that way.
I would even say XMPP would be a better underlying communication protocol under ActivityPub, as it specs many aspects that ActivityPub does not.