Argorok or Armogohma because I like dragons and spiders and they would make good house sitters as no one in their right mind would go up against a dragon or giant spider ^^
A Link to the Past was the first one I ever played, though I was only 3 at the time so I'm not sure if that counts. The first one I seriously played was Oracle of Ages.
I never had a problem with getting money, always had it practically full. The only time I really used the armor though was in the Cave of Ordeals; it was a life-saver there.
My dad told me right off the bat that his name was Link so I never had any misconceptions. I also liked reading the case and manuals for back-story. I think I named him Cat the first time around, one of my nicknames.