Cleaver-style blades are primarily for slicing/chopping duty. For a general EDC type knife, I'd probably stick to drop point, but it's really more of a personal preference.
As far as steel, D2 has higher hardness level than 8cr13mov, so in theory it should hold its edge longer before needing to be re-sharpened. For a rarely used knife, I'd say it doesn't matter a whole lot. Most of my knives just sit in a drawer, lol.
Honey Badgers are well regarded as far as price to quality ratio, but there are plenty of other decent knives out there for similar money or less, for example Ganzo FH series that uses D2 steel as well.