My sole source of Income will be primarily 1099 (Non-Employee Compensation). Thus I would require to file the 1040 ES and the CA 540 ES each qtr.
Do I require to pay FICA+Medicare? And where would I file this under the 1040ES? Likewise, for CA, there's the SDI (State Disability Insurance), where would that be file on 540ES?

Any info is much appreciated.

Yes, self-employment taxes (which is FICA taxes TIMES TWO) must be factored into your quarterly estimated tax payments.

Not sure about the California SDI payments.