As usual it's disappointing reading all the inaccurate responses.
You can meet all your needs, which you described as a fridge and a few lights, with a 1,000 watt generator.
How do I know? I did it for five days.
Your fridge draws about 140 watts (yes it is that efficient) with a peak draw of nearly 500 at start up (it runs 50 -60% of the time), a fan draws 30 -120, your router 30, the TV is around 100 or less. As you can see gasoline 1,000 watt generator will serve you well. You will be comfortable and if you have a tankless water heater you'll be able to have hot showers as those only use 60 watts for the electronics.
Now, can you do it with solar? Yes but you won't like it. Let's say your average draw is 300 watts per hour. 300 watts x 24 hours x 3 days = 21,600 watt hours.
At retail on Amazon with solar panels, a solar generator is $1.00 per watt hour.
Back to the small generator, will you be able to have enough gas on hand? Yes, easily. The Honda eu1000 uses .6 gallons every 6.8 hours. If you know a storm is coming top off your cart and fill a five gallon gas can. If there is no power outage use the gas in your car. Simple.
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