How to save a vinyl kitchen floor?

http://homeguides.sfgate.com/paint-vinyl-floors-stay-painted-27855.html

Here's one that was successfully painted two years ago! https://www.youtube.com/watch?v=J0eG-8XHTWs

Here is from someone who did it and it's lasted over 4 years already!

https://www.designertrapped.com/how-to-paint-your-linoleum-floors-yes/

I have never painted a vinyl floor. But when I was a kid my mother made me paint our old flaking lenolium. The experience was awful!!!!! Traumatic to this day.

Why not cover with self stick tile. I assume you have a level vinyl floor, so no significant prep. Just (lol) move every thing out of the kitchen. Connect the true corners in diagonal pairs to find perfect center. Snap a chalk line of Mark carefully on the old floor. This is the starting point for your first four square tiles. I like the old fashioned checkerboard b & w floors in old houses. We picked out an almond tile with some black and other veins. Also bought the mirror twin in black. Matched almond appliances wit black microwave and black glass oven door. It was beautiful. We received more complements from that DIY than any other. Tile was on sale. Took us a couple days. Lasts longer than paint.