Just completed legal name change, how do I file for my returns?

I finished a legal name change this week, and am waiting on the final decree from the mail. After that I'll go through with changing accounts and documents; while all of my documents in my possession for taxes will be under my former name, I assume I should be filing with that name.. but then if I go through with changing my name on my bank account and social security card, how will that affect the name on my return while my tax return is being processed or mailed? If I file under my former name today and my name is different in 2 weeks, should I just wait until most of that is done?