I use River5 as a feed aggregator, and create single page apps to display combined feeds (Andy Sylvester’s Reading List). There is some friction to start (get a server if you don’t have one, install software, set up single page apps) and some friction for updates (have to FTP subscription list updates), but after the setup is complete, I have had almost no problems. I could have used some online service (Feedly, Flipboard, many others), but then I would be dependent on those services (could have outages, terms and conditions might change, other restrictions on the service might occur, the service could go out of business). Similarly, I use my own install of WordPress on the Bluehost hosting service. I control it, I decide when it gets upgrades, and I can keep backups and move it to another service if I want.
To me, the cost/inconvenience is worth it to own/control the tools I am using. Whatever you do, be mindful of the choices you make….