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You will be filing this year as a Part-year resident of CA. You are not required to make estimated CA tax payments if you are a new resident (in 2008) and did not have a tax liability in 2008 (for tax year 07).
You may still make the estimated payment however, you will need to estimate your CA tax (by preparing a mock tax return for CA, 540NR) and pay at least 90% of the estimated tax owed.
Here are instructions for Es taxpayments: http://www.ftb.ca.gov/forms/2008/08_540esins.pdf