As you were married on the last day of the year - for tax purposes you are considered to be married the full year.
You need to obtain the taxpayer ID for your wife and file joint return. If you already filed - you have three years to amend the return. It will be more beneficial for you to file jointly.
The home that you purchase on your name may be treated as a second home - you may deduct mortgage interest and property tax if you itemize.