The knives and tools I take on a trip depend a lot on whether I'm flying (which means my knives will be out of my sight) or travelling by land.
When I fly, I take dependable knives/tools, well suited to my intended activities on that trip but not overly expensive or with any sentimental value. My local airport (as well as others in South America) is notorious for its thieving employees (I've had a few things stolen). For instance on my last trip to Peru for a wrestling tournament I brought a SAK, an American Lawman and a Leatherman Wave. Sure enough, the Wave was stolen from my rucksack on the trip back.
If I'm traveling by car, train or anything like that, I tend to carry anything I fancy from my collection. If I need to pack light and carry a single folder it's something like my ZT 0300 or my Sebenza, and a good multitool. I drive through rural or wilderness areas quite often, on those trips I carry a few extra tools (axe or machete, fixed bklade knife, etc.). Inside my country I always have a nice fixed blade in case I'm invited to a barbecue (in traditional rural barbecues one is expected to have a knife, having to borrow one is rather shameful).