I have to admit that it is one of those things that are nice symbolically but are completely impracticable and unlikely. Don't faint everyone but I think that this is one of the things the film were right to change (and you don't catch me saying that very often).
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A longsword is not the most practical weapon for someone travelling stealthily on foot and to lug a broken one is a bit stupid no matter how great teh sentimental value. Much more sensible to leave it in safety and carry a short bow and a short or at least functional sword.
Aragorn (like anyone who ventures into the country for more than a gentle stroll)would have certainly carried a knife suitable for cleaning fish, skinning rabbits etc - even Sam does this and he is far less of a traveller. There was a time when carrying a knife was a day to day practicality. I certainly take a small swiss army type thing when I travel - never know when you might have to open a can, or remove a stone from a dragon's foot....