My usual set is a larger and smaller folding knife (like 4-5" and 3"), optional multitool (not really using the blades on it much, but they still count), larger belt knife (ColdSteel 7,5" Recon Scout) and a trench shovel, well sharpened. Sometimes a Bahco Laplander folding saw as well. That's my outdoor/capmping set mostly. Never thought about it, but it's quite close to Nessmuk's kit, I just have a shovel instead of the tiny double bit he prefered. I find a good trench shovel much more versatile, it's actualy my outdoor/survival tool of choice.
When I just go for a walk through the woods around the house, I tend to have an axe (9th century Slavic broadaxe) and sometimes some sort of saw (mostly the folding Bahco again), so I can either get dead firewood home on my way back, or cut some usable material I come by - for drying and later carving, which is part of my business.
I'm not really into large chopping knives much. I do like machetes, for a cheap usable tool, but that's something different. That Recon Scout is about the largest knife I tend to use as a general purpose blade. If I carry a larger blade (9" bowie, smatchet) , I usually mean it mainly as weapon. I thought I will like the kukri knives, but had two and sold them both...never really found my way to them.