There's several basic tax tips for newly married couples.

1. Notify the Social Security Administration of the name change. This would avoid any confusion when you file your next tax return.
2. Make any address changes with the IRS and US Postal Service.
3. Name and address changes should be made to your HR. Check your next paycheck to make sure the correct name, SS# and address is properly reflected. This would advoid any confusion with the W2 at year-end.
4. If you are an employee, check your Withholdings. If you and your spouse work, then there is a chance you will be bumped up to a higher tax bracket.

source: http://www.irs.gov/newsroom/article/0,,id=210762,00.html