Negotiating cost of CPO or NonCPO used Honda CRV 2021+ from dealership

There is a particular CPO 2021 Honda CR-V EX ('first car') at a local fairly
trusted dealership 25k mis, but cost seens too high, although has brand new
tires.  I have online quotes from other dealerships, who I've spoken with, for
the a 2022 in same model/trim of even other 2021s, who say they can bring
cost down a little further.  Should I take those and show them to the first
dealership (which I rather trust) to leverage in negotiating for that first car?   
Is this an example of what I could say:  "I have these listed cars.  Can you do
better bring your cost down below these others?"  And, can I negotiate on
those nebulous 'processing fess of $950, for example'.  Thanks, Robin H