Add the following to the end of your ~/.bashrc file and you’ll always be in a screen session when you SSH into your box.
#======================================================================
# Auto-screen invocation. see: http://taint.org/wk/RemoteLoginAutoScreen
# if we're coming from a remote SSH connection, in an interactive session
# then automatically put us into a screen(1) session. Only try once
# -- if $STARTED_SCREEN is set, don't try it again, to avoid looping
# if screen fails for some reason.
if [ "$PS1" != "" -a "${STARTED_SCREEN:-x}" = x -a "${SSH_TTY:-x}" != x ]
then
STARTED_SCREEN=1 ; export STARTED_SCREEN
[ -d $HOME/lib/screen-logs ] || mkdir -p $HOME/lib/screen-logs
sleep 1
screen -x && clear && exit 0
if [ "$?" != "0" ]; then
screen && clear && exit 0
fi
# normally, execution of this rc script ends here...
echo "Screen failed! continuing with normal bash startup"
fi
# [end of auto-screen snippet]
# ======================================================================
Replace screen with byobu if you use that.
Remember to use ^a-d to disconnect from your SSH session.