Feedly is a free web service, also available as mobile application, that allows to subscribe to RSS feeds and read them from a single account.
This application is very popular and one of main Google Reader replacement since 2013, when this service was discontinued by Google.
Feedly allows to sign in with Google account and import data from your old Google Reader, also you can add any RSS feed URL for explore new topics by word or hashtag. Not only you will manage all feeds from a single account, but also you can discover new topics and follow them.
