Removing a monitor AND chassis?

Hello, I've decided to revamp my nonworking arcade machine into a MAME with an LCD (boo me all you want, I've had it trying to find another tube monitor). First, however, I need to remove the old monitor; can I remove the monitor and chassis all at once without discharging the monitor? If this isn't the case, and I DO need to discharge the monitor, how do I go about doing that in a way where I don't die?

If it matters, the monitor is (what I believe to be) an Electrohome G07 and it has been dead for a little under 2 years.