As Steve says the species is important, more than likely they would be White Clawed [indigenous] or Signal [invasive] they are not easy to separate from a distance in water.
Both species should be reported to the Enviromental agency, there web site has some excellent info on identification.
1 possibly 2 crayfish (guessing signal crayfish) at Hugh Mill in Waterfoot today. 1 seen at 10am & the same or another seen around 80 yards downstream at 4:30pm
Your pictures indicate they are White-Clawed Crayfish, very rare these days and should be reported to the EA for research purposes, Environment Agency hotline 0800 807060, or through the website.
I have reported it to the Environment Agency. If anything comes of it I'll post it on here.
My limited knowledge of crayfish still leads me to think this is signal crayfish. The underside of the claw appears to be red, which is supposed to be one of the ID features of signal crayfish
Attached are a picture of each species, first is Signal, second is White-clawed, in my experience the Signal claws are always quite prominently red, where the White-clawed are paler, on your your pictures this seams to be the case.
I had another crayfish around 60 yards downstream of the other crayfish today. Not heard anything back from the Environment Agency after emailing photos. The links below should take you to short videos of the crayfish
Excellent footage, the ones I see in the Irwell around Strongstry even through the water have much more red on the claws, when we had the pollution incident in April 2019 there were several dead ones in the river, some were taken by the EA and identified as signal.
As you probably know size is used as a species identifier but with no scale it is impossible to know.