Pry the little H & C caps off with a knife.

 

Then you will have to unscrew the bell shaped chrome estucheons. Then you need a deep socket to remove the valve and replace the washer. Big box stores sell those deep faucet socket sets for only a few dollars.

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Prying off the caps was the first thing I thought I would have to do, but it seems like it's not a cap, just a raised part of a solid metal handle (similar to here, but there is also no nut behind the handle: https://womenyoushouldknow.net/fix-friday-get-screwed-screwless-faucet-handle/ ). I already have the deep socket set and have done this a few times before, but the cap/screw is usually pretty obvious. I felt around the H with my nail and a scraper and it didn't seem like there's a seam. I could be wrong and will take another literal stab at them though.

 

........................

 

That's where I would normally expect the seam to be, but this one almost looks like it's between the knurled portion and the cap.

 

That's where I would normally expect the seam to be, but this one almost looks like it's between the knurled portion and the cap.

You could be right.

 

Is the knurled portion maybe knurled because the caps unscrew from the handle?

 

Good call.:biggrin2:

 

Is the knurled portion maybe knurled because the caps unscrew from the handle?

That's a possibility, not very likely but a possibility.

 

Try turning the whole base escutcheon.

 

Oho! Hopefully the OP comes back and sees this!

 

Is the knurled portion maybe knurled because the caps unscrew from the handle?

Congratulations on being smarter than the rest of us.

 

LOL, not smarter, just perhaps a little more observant.