You didn't mention the type of internet service you have. I had a somewhat similar problem - I have Time Warner cable with a wireless router - over a holiday weekend apparently everyone in the neighborhood jumped online - and clogged the bandwidth my router was using - which resulted in my Fire repeatedly losing/finding a WiFi connection. Power cycling the router (unplug, then replug power cord) solved the problem - apparently this allowed the router to find a new channel to connect with, not overloaded with users.
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