For routine trad window cleaning, I prefer scrims.
But for leaded or Georgian window cleaning work; microfibre wins hands-down.
Don't do what I used to do when cleaning leaded or Georgian windows when I first started. I'd soak all the glass with an applicator, then spend ages drying it all off. (I'm a Geordie).
On a regular clean; which shouldn't be too dirty; use the microfibre with a light misting (just a little squirt) of some sort of window cleaning spray; Squeaks swears by Tesco's own brand window cleaning spray; but I use alsorts.