Biggest question is where are you going to go?
Unless you have a pre set up location and supplies there you might be better to store as much as you can at your apt and when it gets down to duffle size then consider a relocation or going on the move.
Even if you had a ton of stuff and your were able to get it all loaded into your truck, whos to say you wont run through a pile of nails thrown onto the road and have 3 flat tires and now you are leaving a bunch of supplies in your truck because you can't carry all of it?
or its February and its 6 degrees outside with 2 feet of snow on the ground. Might be better to stay put in that case.
and I wouldnt worry about a generator, a good mummy bag(1st layer of insulation) and a single person tent(2nd layer of insulation) in your apt would keep you pretty comfy in the coldest temps.
besides the longer you can hold out the better as it will give the weakest ones time to head to the Pepsi center for red cross Gvmt help or die off from killing eachother for their neighbors plasma tv.