Recommend a mop for cleaning walls and ceilings before painting?

[LilacAlien]

I have quite a few walls and ceilings to clean.
I'm looking for something like this that I dip in a bucket of warm soapy water and squeeze it out before using on the walls and ceilings.

https://www.amazon.co.uk/Kleeneze-KL080912UFEU7-Anti-Bac-Protection-Absorbent/dp/B08V5KZMX6/ref=asc_df_B08V5KZMX6/?tag=googshopuk-21&linkCode=df0&hvadid=696285193871&hvpos=&hvnetw=g&hvrand=8291632170606819638&hvpone=&hvptwo=&hvqmt=&hvdev=m&hvdvcmdl=&hvlocint=&hvlocphy=1006886&hvtargid=pla-2281435177858&psc=1&mcid=bba0ba5ce5df3ec2ae5259f0182e9fd7&hvocijid=8291632170606819638-B08V5KZMX6-&hvexpln=74&gad_source=1

Is there one like this that you'd recommend?

You can buy squeegee mops quite cheaply in places like Home Bargains and B&M so pf probably do that.