Musicality really runs in my family - I have a relative who is a well-known Canadian singer, and my mom was in a pretty popular local band (in the States) in the 70's. Most of my aunts and uncles and my mom sing in their churches or other community groups.
I started taking piano lessons when I was 10, and did that for about 8 years. I had a great teacher who was very understanding and patient, and was very encouraging. It took me a while to get the hang of it, but once I got it, the rest was easy. I practised constantly, which is something I recommend. As lame as it sounds, practice makes perfect. I don't play regularly any more because I don't own a piano or keyboard, but it wouldn't be too hard to pick up again.
I taught myself to play the guitar when I was 17. I found a book that explained all the chords, and once I learned those I would play them over and over again, until I got the hang of it. I could already read music, so it wasn't too difficult to learn the songs that I loved. I was able to learn by listening, so I would often have the radio on, and would try to mimic what I was hearing. It was frustrating at times, but I loved it so much that I didn't mind how long it took me to learn something. I played for about a year, but then I went to university and didn't have time to devote to practising, so I stopped. I've decided to pick this up again, and am starting lessons in a few weeks. I've always loved the guitar, and regretted giving it up so quickly, so I'm jumping back into it again. I'm really excited!
I can also play the flute and the violin very badly. Most of my musical lessons, experience, etc. is with singing. I was always in musicals, bands and choirs from about as young as 5 years old and well into my 20's. That is something I'm going to start up again in the future too. My main goal right now is to focus on learning guitar.
I can play flute, but I realize this isn't overly impressive 
