Oh no, I'm worried about your vibrato technique!! If you get in the habit of doing it incorrectly, it can take a very long time to get out of the habit (it'll be in your muscle memory).
I say this from experience. Boy it was a pain to quit moving left to right. I suggest you do what I did: I bought an online program to help me learn (my parents paid for it to be honest), I used Violin Master Pro and it taught me how to do vibrato very well. Check it out:
http://www.howtoplayviolinonline.com/ap/c/violin-lesson