I've been into the whole zombie "thing" since well before it became cool again, so suffice to say I've given this a lot of thought.
I'm reading through these posts, and thinking "Well, there's certainly going to be a lot of cool-looking, well-armed zombified corpses lol".
Let's look at things "realistically" for a moment. Even soldiers and LEOs with plenty of weapons training have trouble reliably hitting a moving target with a handgun, let alone hitting it in the head. And if you are close enough to get a reliable head-shot, you're too damn close to begin with. I'd still try and get my hands on a pistol though, considering it's relative light-weight and small size, but more for potential problems with trouble-making survivors than the zombies.
A longer-range weapon isn't a bad idea. Sometimes, taking out a few Zs at range to secure an area will likely be necessary. .22 ammo is easy to come by and lightweight, and one rifle between 2-3 people is probably enough.
"Melee" weapons. You should never be this close to the Zs in the first place. However, accidents happen and people let their guard down - everyone's human (until they get turned into a slavering ghoul, anyway). Machetes/swords I'm honestly envisaging as being pretty useless. You aren't some ninja bad-ass, and most likely can't completely hack off a zombie's limbs/head with one clean strike. Furthermore - how is the zombie virus transmitted? Through the bite is pretty obvious, but what if it's carried in their blood too? Hacking at them and ending up with a Zs hand-stump spraying you (and maybe your buddies too) with infected blood is gonna put an end to your non-undeadness in a hurry. I'm thinking a baseball bat, for simple blunt-force trauma/fending off abilities, or a hatchet (especially if you know the blood doesn't carry the infection) as being most practical. Remember, you only ever engage the Zs at this range if it's absolutely necessary. If you can run - just do that instead.
As for clothing - I think the OP had the right idea. Biking gear - kevlar and leather. Steel-toed boots. Shin guards, knee guards, arm guards, even shoulder pads if you can find them. You'll look like an extra from The Road Warrior, sure, but if that's what it takes to survive... One of those chain-mail-like anti-shark diving suits would seem ideal, but I don't honestly know where you'd find one.
ETA: Combat knives for everyone in the party, for sure. But more for its myriad of non-killing things uses.