Did Aragorn really walk around the Wild with just a broken sword for protection?

[Rumil]

When Aragorn is first described he is meeting the Hobbits in the Prancing Pony. Possibly he had already rented a room and left his 'conventional' weapons and other gear in there? I guess he would have kept Anduril on his person just in case someone tried to nick it or he had to make a swift exit, after all even broken it was still irreplaceable.

On the Nazgul encounters he seemed to know that the fire-brands were more effective than ordinary swords.

But this doesn't prove anything one way or the other!

I'm sure everyone carried a knife in LoTR, essential for travelling, though don't try and get one onto an airliner!