"Large knife" is in the eye of the beholder.
As to the OP's original statement and question, even the smallest knives I carry are pushing his upper limit. That said, however, I have never considered the knives I carry to be "large" knives.
The knives I carry all have blades shorter that the maximum allowed by law so I never worried about what other folks think about what I carry. Since what I carry is legal to carry, my attitude is that folks can mind their own business.
My EDCs consist of 2 FBs with 5-1/4" blades for general use, a FB w/ a 3-1/4" blade for smaller jobs, and then 2 folders with narrow 3+" blades for when a smaller blade is NEEDED.
95+% of what I need to cut on a given day is handled just fine with my 5-1/4" blades. On occasion, a smaller blade is necessary. If I can get by with the small fixed blade, that is my next go-to knife, followed by the folders.
I can do most small jobs comfortably with a larger knife. It's just a matter of being familiar with your tools and using them frequently. I prefer fixed blades as I can get a FB out, cut what needs to be cut and have it back in it's sheath before most people can get a folder out of their pocket. A fobbed switch blade may be out and in use as fast, but is slower to put away (IMO).
Why do I prefer to use fixed blades for every thing? I have NEVER had a fixed blade close on my finger and cut me or break while in use AS DESIGNED. I have had folders break at the pivot while in use, pivots and locks that loosened up over time (I hate liner locks) and cleaning folder pivots can be a PITB.
But in the end, what one carries is dependent on what the carrier is both familiar with and used to using.
The best flippant answer I have seen in this thread (and others) is
"Because I can't carry a sword." But that may change (knock on wood) here in Texas if HB 1935 passes.
