You can register your business with the State, County or City that you reside. Contact your appropriate municipality for more information.
In order to pay quarterly taxes, you will need to sign up with the IRS. Here are three links that explain more about quarterly tax payments:
http://blog.turbotax.intuit.com/tax-tips/dont-forget-to-pay-your-estimated-taxes-3637/https://www.irs.gov/individuals/self-employed#QuarterlyPaymentshttps://turbotax.intuit.com/tax-tools/tax-tips/Small-Business-Taxes/Estimated-Taxes--How-to-Determin...
