Congratulations on your business endeavors.... So what is your business all about? tell us we would love to hear what you do for a living.
Well now that you filed, you will be spending alot of time doing paperwork.
As for your question, if you need to file a DBA for your web site? Well it wouldn`t be exactly for your web site but for your business. I am assuming that your web site is going to have your business name on it correct? If so then I suggest you file your DBA for your business.
I don`t know which state you filed in but yes go to your county registrar and file for a DBA as soon as possible. Remember, as an LLC you have to be compliant at all times.
Web Developer / Owner / Consultant
When starting your own business the need to "know-how" is greater than money!