I was raised in an atheist/agnostic household. My dad was raised a very strict Roman-Catholic, but when he became an adult, he moved away from the faith. My mom was raised with some, but not strong, Lutheran influences. They always encouraged me to seek out the religion that suits me best when I became an adult.
Therefore, I have not "converted", so to speak... at least not in the strictest sense... but I am significantly more religious than my parents. My beliefs don't come from one particular religion, although they align most closely with Roman-Catholicism... but I do have some Mormon influences, some Lutheran influences, etc.
I think my parents were suprised when I told them that I do believe in God. They had a bit of a hard time accepting it, but they have grown to with time... I think their main concern was that I would go overboard and join a cult or something
As far as how long it took... for me its an ongoing process... most of my adult life so far has been affected by my search for the best way for me to serve God... so that's what... 5 years or so, roughly. I figure that if I ever stop, I'm doing something wrong
I know this probably isn't the type of reply you're looking for, but I hope it helps.