Get your taxes done using TurboTax

As stated before, your options are to file as Married, Filing Separately ("separate") and  Married, Filing Jointly ("joint").

Since she has a SSN and no income,  Married, Filing Jointly is probably your best option.

Generally, filing jointly will give you a bigger refund or less taxes due. When you file separately, your tax rate is higher and you won't be able to claim:

• Education benefits
• Earned Income Credit (EIC)
• Child and Dependent Care Credit (usually)
• Adoption Credit (usually)
• The same benefit married filing jointly couples get for itemized deductions, the Child Tax Credit, and capital losses (all of these deductions are reduced by half)
• The standard deduction if your spouse is claiming itemized deductions

The following post gives you the steps to compare which filing status is better: 

How can we compare married filing jointly with married filing separately?.