To mention some common sense aids:
First: apply pressure, hold hand above heart for a 2-5 minutes,to slow circulation via gravity..You may have to stop your activity until this gets managed.
If the bleeding won't stop try your morning TEA [black tea best] bag; I can guess,but I really don't know why this works to discourage bleeding! It's great if you bite your tongue too!
After using hydrogen peroxide:
When bleeding stops put a bandaid w/ antibiodic ointment on it. Try to keep any skin flaps or tags aligned over cut .
( times out of 10 you'll bang it up so stop chopping/slicing for awhile.
Before bandaid, after stopped bleeding:Use hydrogen peroxide to bring air [hence bubbles] to prevent any non-aerobic organisms [=infectious bugs that are inhibited by air] from growing.
Slow down a bit or wait until you are fully present when using SHARP tools,guy ! : )
Call your friendly advice nurse, if bleeding doesn't stop.
Hope this helps . Good luck!