Is it a glass or metal tube? I recall Zenith used metals for a whle (it was an industry fad).
Some sets, the tube is attached to the chassis, others, it's attached to the cabinet. Some sets you pull the tube first, others you don't. Got pictures of thise thing?
If it's a mteal tube - they're pretty sedate, but they can zap you
Glass ones, no, they don't have modern implosion protection. But, the normal handling precautions apply - don't stress the neck, wear goggles, use gloves, don't scratch or hit the thing.
You want creepy, 21" color tube
USE YOUR HEAD!!!! By far the best advice - if it seems like a bad idea, it probbably is.
Storage - In a box, put old towels on the bottom, lay it face down, make sure the edges are supported. Don't let anything fall on top of it
Remember that some sets can build/hold a static charge, even long after they're turned off. Ground the HV cup (always), and watch it when you pull the tube - avoid the contact.
Not a bad idea to clean the thing off while it's out of there - it looks nicer clean, and dirt creates HV leakage paths. I use Windex, and if I'm desperate, a really gentle brillo+water can get tough spots. You might have an aquadag coating on the outside, esp if it's a newer tube. Those like to flake off or rub off sometimes.
Metal tubes are easy to handle, they don't really implode, but they ARE delicate! And hard to find.
When I redo a TV, I like to make sure the HV box is as clean as it can get, and it's not such a bad idea to replace the HV lead from the 1B3 to the CRT, the old one might be leaky.
Remember once the HV box comes alive, that you've got HV in the sweep circuits. The bulk goes away when you turn the set off but the CRT and Horz output area can still pack apunch. Use a discharging wire. That little 'pop' gets to be relieving after a while
Test CRTs show up on ebay from time to ime, and someone here might have one. And HV probe's not a bad thing either, though not needed for B&W. You WILL need one for color. I never used a test CRT but they look useful and fun.
Oh, you're gonna have fun with the ion trap adjustments

Don't panic the first time if no picture shows up - carefully adjust the trap and yoke.