I am looking to buy an axe for processing firewood. I don't require a head larger than a hatchet but, for safety, I would rather have a handle long enough to comfortably grip with both hands -- as this would make it impossible for me to accidentally hit my own hand and remove the urge to steady the wood with my free hand. It would be very helpful if this type of axe had a name. Trying to find such an axe online is made difficult by not knowing what to call it. Does this type of axe have a name?

I can easily buy a longer axe but every axe I have found seems to have a head in proportion to the length, and I would also like to minimise weight if possible.