Replace the old paper and electrolytic capacitors, beginning with the electrolytics in the power supply.
http://antiqueradio.org/recap.htm
If you look at the TV articles in this section, you'll get an idea what's involved in reviving old TVs.
http://antiqueradio.org/restoration.htm
Executive summary: it takes more than replacing one or two little parts, if you want the TV to be safe and reliable.
If you have never repaired an old radio or TV before, I suggest getting a cheap tube radio and practicing on that. Don't zap yourself with high voltage: it can kill you.
Meanwhile, as miniman82 suggests, it's better not to play it any more until you have at least checked the power-supply electrolytics.
Phil Nelson