I actually thought it was very good mate! You look nice and relaxed, you hit the notes, you didn't rush any part of it to get it out of the way and you looked like you were in control of what you were doing. Better than I could do!
Everyone's vibrato is different. Doing it one way or the other doesn't make you better or worse than anyone else, just different. Find what works for you
and then work on refining it.
I actually also thought that, even though you recorded it on a webcam, your tone was nice. Obviously it would sound better recorded using a nice mic etc, but you can get the general jist from your recording.
Stick to it brother, you obviously enjoy what you are doing and that, ultimately, is what its all about.
Eggy - what you said.
(btw- tell an opera singer that vibrato sounds wrong if pitch extends beyond one semitone and they'll kick your ass!)