I would never tolerate bloody fingers or blisters from lacing my skates. I've seen bloodstains on my coach's laces, so I know this is a common problem, but I simply refuse to let it go that far. I use a lace hook. They're very easy to use and essential since I have arthritis in my fingers.
First, pull your laces to remove any slack, but don't pull so hard that it hurts your fingers. Then, start at your toes and snag the laces with the hook at the point where they cross over each other. Pull the laces snug and work your way up toward your ankle. Repeat if necessary, again starting at the toes and working your way up to the ankle. Make sure you pull extra hard right at the curve under the speed hooks.
I like to use that special knot (surgeon's knot?) at the ankle, before the speed hooks, to keep the laces from loosening. You wrap the laces over each other, as you would when starting to tie a bow, but instead of just wrapping once, you wrap twice, and pull tight. This forms a "lock" that helps keep the laces snug at the ankle. Then you lace your speed hooks. Doing this makes a big difference! The one time I forgot, I had to quit and go re-lace my skates after just a few minutes of skating, because they'd loosened enough that I felt uncomfortable.
You don't use the lace hook on your speed hooks, because those aren't meant to be laced tight. You have to be able to bend at the ankle, so your speed hooks should be laced just tight enough to remove any slack, so your tongue doesn't come loose, but not so tight that it hurts your fingers to lace them. You should be able to fit two fingers into the back at your ankle. If you can't do that, your ankles are laced too tight.
You could also try putting band-aids on your fingers before you lace your skates. Not the knuckle kind, but regular band-aids, with the little pad over the sore spot on your finger. It should act as a cushion to prevent further injury to your fingers while you lace. Just keep a box of cheap, generic band-aids in your skate bag and put fresh ones on whenever you lace your skates.