Home Internet - Frequent Disconnects - Possible Fix

I have spent countless hours over the last week calling Hulu to reset my zip to the rapidly changing ip addresses. Been having constantly dropping internet speeds, and no service at all. Constantly rebooting, and at least 15 x in the last 2 weeks we were down for 5 hours plus. Modem is not hot at all. It's been moved all over the house, reset, again and again. No "fix" lasts. I got this service 9 months ago, had about a week worth of problems, then just a few outages. The last 5 weeks have HORRIBLE. Now we have the rapid changing ip addresses problems too. This also disrupts log ins on my iPhones & iPad, the websites, especially bill paying ones think that my connection is being high jacked.  Then I get kicked out, and in some I have had to change passwords just to access them again. This 100% untenable.  I have heard that Xfinity has far fewer problems, and sets you up with a static ip, so you don't get constant error screens from streaming services. We'll see.