Bows - Cool and Reflex for skill, plus Brawn for speed. A newly added weapon type with a severe lack of content. There are currently only a few bows available, and a handful of ammo types. Functionally, these are basically just guns with power attacks. Uses "Quickdraw" instead of having its own skill, so the skill has the added benefit of passively letting you ready items a bit faster than normal. Bows synergize extremely well with Blades and Firearms because all three use Cool and Reflexes for skill and need Brawn too, so taking either of those as a backup skill is a great choice.
Whips - Reflexes and Senses for skill. A very small number of whips use Brawn for damage, but most will only need Reflexes and Senses, and even for the ones that use Brawn, the bonus damage from Brawn isn't worth it. Because of this, it's very versatile, like Clubs. However, Senses pairs well with crafting and with focus, so most whippers will go with those. Whippers tend to have the best dodge skill of any weapon type, and even without investment in Endurance will have above average Focus. Whips tend to hit pretty fast, but have low damage compared to other weapons, relying on their high crit rates to boost their damage output.
Fists - Brawn and Endurance for skill, Reflexes for speed. This and Flails are the only melee weapons that don't rely on Reflexes for skill, but like all weapons, you want a lot of Reflex anyway. You'll usually want to max out all three eventually, so there's less room for stat variety than other weapons. On the bright side, these are all good stats, and your high Endurance means you can abuse drugs and will have good Focus. Plus, a lot of major mutations play into Fists very well, so you actually have a lot of build variety. Zombies, Chuds, Barnacles, Rippers, and Aboms all get their own special claws (or tentacles, in Barnacle's case) to replace their bare hands (though actual fist-based weapons will outperform these) and all of these synergize well with fist builds. Fists generally hit very fast (unless you're a zombie), with very high max damage and very low min damage on their rolls - you can hit for fuckall damage, blow someone's head clean off in a single punch, or anything in between. Fists also have insanely easy to replace weapons, and have access to good weapons in every parry class.
Flails - Brawn and Senses for skill, Reflexes for speed. These were a "joke" weapon in Hellmoo - "joke" weapon meaning the devs were lazy as fuck and slapped them in with no balance testing and basically no content, then they were all ridiculously weak because the devs never bothered testing them, so the devs decided "fuck it, fixing things is hard" and pretended it was merely a clever ruse and they totally actually intended for flails to be useless garbage all along. Haha funny joke, haha don't you get it, we're not retarded OR lazy, it was just a joke guys, hahaha! Pissmoo's dev has been trying to fix them and bring them up to par, and they should be good now, but they're still currently in the middle of a major rebalance. I've never used flails in any of the different Hellmoo spinoffs, so I've got no idea what else to say about them.
There are a handful of other skills (throwing, bombs, science) that have weapons but aren't really intended to be used as primary weapon skills. I've got no experience with throwing or bombs. Science has other uses, mainly crafting, and its weapons all tend to have very niche applications. Science weapons also tend to each have unique stat requirements, so it's difficult to give a generalized opinion on them - some function like guns, some function like melee weapons, one even uses medic skill for speed instead of brawn or reflexes.
Whatever you go with, if you fuck your build up, rerolling is easy and pretty painless since you get to keep most of your XP, so go ahead and play around with different weapons.