Display twitter feed that is customized by user


I am developing a website for beer enthusiasts. When my users log in to their account on my website, I want to have the landing page contain a list of recent tweets by breweries that the user has selected. My vision is to have a settings page where the user can enter the twitter account id and/or select from a pre-determined list of twitter accounts the tweets from whom they would want to see. Once I save off those twitter account ids for the user, when the user loads my website landing page, a timeline will display just the tweets from those that are selected.

Is this something that is possible? If so, would one of you please point me in the right direction?

I really appreciate it,