OLD Sony Trinitron Monitor Problems

I am still using a Sony Trinitron Multisacn E400 Monitor with a ten year old system. When I first boot the computer in the morning, the monitor manages to support normal boot operations (I use 1280 by 1024 as a standard pixel setting). But if another full screen window is used, the monitor will cut out in a manner I don't know how to describe - other than it stops all display. The simple solution is to power off, then on and I have been doing this for the past two months. I realize that with a ten year old (or perhaps older) monitor, it will eventually have to be replaced or repaired. The latter option is almost certainly NOT cost effective since I have neither the tools nor the knowledge to do the repair myself. I do have two questions: (a) Is there any possibility of either damage to the other components or even myself if I continue to use the monitor until it completely fails? (b) Is there any point in waiting 15 minutes (approximately) that the monitor seems to need to warm up completely to prevent the problem in the first place, i.e. will preventing the problem from happening by providing enough time for the monitor to completely warm up prolong the limited expected life of the monitor at this point? Any other comments would be appreciated, especially in respect of questions that I do not know to even ask. Jerome Fine