Well, for someone who writes a 'science' blog, this guy is pretty ignorant.
The fate of our sun is well know to anyone who has taken an astronomy 101 course.
A billion or so years from now, the hydrogen fusion reaction in the sun will no longer be able to support the weight of the core.
At that point the core, which will be mostly helium at that point, will collapse until it becomes so dense that a helium fusion reaction begins.
The sun will then swell up into a large red start who's size will be so large that it will reach to about the orbit of Mars.
IOW, the Earth is going to get fried and swallowed up before the Sun finally burns out. I suggect investing in sun screen, not winter clothing.
Not if real estate developers have anything to say about it. There will be chunks broken off to make new planets, and they will sell parcels for a $ zillion each.
My descendants are going to be out on Europa by the time that happens. Soaking up some pleasant (albeit red) summertime rays.
"At that point the core, which will be mostly helium at that point,"
Great, so not only do we get fried, but we'll be talking in really high voices, too.