I will offer one warning - not all oscilloscopes mark the high voltage properly. I had a GoldStar (LG) that had 600V exposed outside the "high voltage" shields - of course, I found that with a very "natural" voltage probe...

On the other hand, you could take the cover off of my Tektronix and rub your hands all over it and not come near anything above 80V.
That said, if you use proper technique, assume everything is HV until proven otherwise, and don't go sticking your hands where they don't belong, you will be fine. People have worked on CRT-based equipment for decades and problems are rare. Just try to do as much work with it shut down as possible, and discharge all the rails before you go digging around. I like to leave shorting links across all of the particularly nasty rails while I work on it - I just count them as I put them on and take them off so I don't power it up with them attached.