Bill hook.
No more needs t be said
it does a Bill hook is a short heavy chopping tool with very very limited slashing ability
This one isnt what i would call a bill hook (English Bill hook for hedge laying) its more a short slasher ie much longer blade and lighter.
This is a more normal shape short wide
I like a long handle slasher for Bracken and bramble clearing its some times a lot easier than a strimmer and Quieter
for sashing light but thick brush ie brambles and small saplings over a long time period etc then a machete is needed its a long thin lightish straight blade cuts this type easily with minimal effort and fatigue (i would normally associate them with S America etc not so good for chopping
Parangs are heavier construction so add a bit more to the chopping but not so easy to clear trails for long time periods closer to our Bill hook but longer for jungle use
Kukri is a camp and house balde in Nepal used for lots of every day tasks and relatively small compared to the Machete and parang especially proper native ones my larger one is ok on clearing duty but wouldn't want to do a large area etc
Axe chops thats pretty much it your not going to be slashing with a 3-4" wide cutting edge but will take down med trees faster than the rest here except a folding saw
Leuku is a large camp knife but compared to the rest is a baby but its lightweight and thin blade make it fairly handy outside a jungle ( I put my XL camp Nessmuk in this category)
so its down to what you want to do and what you prefer
Course the only option is to Buy one of each (luckily they are all available in reasonable quality fairly cheap

) and do a test and report back to teh Hive
Oh dont forget to test in the kitchen
[video=youtube;8tCiOux9CYU]http://www.youtube.com/watch?v=8tCiOux9CYU[/video]
i DO