Look, here's what you do: clean it up as you would any other broken light bulb. Mind the sharp edges! The plentiful whitish stuff on the inside is a phosphor compound and it's not good for you. In an old lamp, it has taken up most of mercury. The combination is really not good for you, so don't lick your fingers. Refrain from the temption to lick the floor, too. And don't forget to put on your bicycle helmet!
Geez-o-pete, it's a fluorescent lamp. We've had 'em for all your life. They got smaller. Can I go back the Planet of the Grown-ups now?