There are lots of options for RSS clients that supports 3rd party synchronization services like Feedbin, Feedly, FreshRSS (selfhosted AFAIK). I prefer NetNewsWire client for both macOS and iOS as it supports Feedly integration.
Couldn’t find any pleasant looking RSS client on Windows but I got used to browse Feedly in my browser daily instead.
For the organization and synchronization, I have no issues with Feedly so far. But if you’re looking for something else, there are lots of client and service options that can suit you better. (Try searching “RSS” on GitHub)