How to cover very faint water stains on a ceiling?

I have a couple of very faint water stains on my kitchen ceiling due to small water damage quite some time ago. We want to put the house on the market so we want to cover these stains up.



I have read around and have seen that I should first use an oil based primer wait for it to dry and then paint over it?



Does it matter what paint I use? And as for the oil based primer, Kilz original will be good enough right?



Thanks for any help in advance!

How to cover very faint water stains on a ceiling?