One of the tricks that I leared on Erie to safely bleed fish was to pick up a pair of heavy kitchen shears, or set of tree/shrub shears. Much easier and the risk of slipping with a knife is reduced.
Those are some tasty looking fish, blood or no blood. When the water gets cold I find the fish almost get a sweet taste to them from the river, not quite, but like a perch. I let the blood stay then, more nutrients equals flavor.
Really a guy hasn’t lived until you rip out a beating heart from an eye and throw it down the hatch, become one with your quarry.
A good trick for cold weather like this is to wear a good pair of tough gloves. Reach your index finger in the gills and rip them out. I’m going to try it on the ice this year and see how it works.