My favorite utility is a shell function for quickly attaching to an existing screen session after connecting via ssh (or creating a new one if none exists). It's pretty handy for treating a single ssh connection to a server as if it was a long-lived multi-tab terminal:

  sshcreen () {
      ssh -t "$@" screen -xRR
  }

Works with bash and zsh. Usage is pretty simple:

  $ sshcreen user@example.com

Or for local Docker instances mapped to port 2222:

  $ sshcreen root@localhost -p 2222

Detach the session with CTRL-A + D, reattach by rerunning the sshcreen command you previously used.