I've faced the many terminal tabs issue. In a way tmux actually makes it worse as I'm used to the running app being in the title, and tmux obscures that (now there's just "client"). But also better as I found a great session restore plugin; always drove me a bit crazy when something happened that either killed the terminal app or triggered a full restart, and my tabs were lost.

  set -g automatic-rename on
  set -g automatic-rename-format '#{pane_current_command}'