rss feed requiring authorization

I here finally reached that moment in life when it became simply impossible to read a bunch of different tapes, and most importantly, uncomfortable ...
Thus, I realized the need to master some kind of reader, and, of course, the first place I went was the google reader. However, after some deliberation, and, the appropriate verification revealed that Google does not support feeds that require authentication. (By the way, you can vote for this feature here )

Tell me which online service is best to use. Or, of course if it’s not mega difficult (although the links will fit) - how can I set up such a reader for myself ... * (although the service is more suitable now :)

thank