unplug the HDMI cable to your tv from cable box.
As articdeth suggested, this would be easier than disconnecting the coax cable from the modem or cable box, but if that doesn’t do anything, at some point I would try disconnecting the coax cable to the cable box or modem.
Also when I moved in I had every outlet in the house with new GFIs - would the electrician have noticed if the box / grounding in the house was off or not necessarily?
Most GFCI’s will not work correctly without a ground. Yes, they make ones that work in situations where a ground doesn’t exist, but if you had any of those, he would have had to install specific GFCI’s for that application. If this were the case, I think he would have mentioned this to you. Hard to say if he would have pointed out any other electrical abnormalities. Some houses that were built in the 60’s contained aluminum wiring instead of commonly used copper. Do you remember him mentioning anything about this to you? Not every house in the 60’s was built with aluminum, but it was more popular during that decade than any other.
Maybe I need to disconnect them all from the amp as well or that doesn’t make any sense?
YES! Definitely try that! If THAT fixes the problem, try plugging them back in one source at a time, and see when the hum starts again.