I'm involved in a lot of open source but had used IRC only intermittently until I got The Lounge running.
I've really enjoyed it. I'm able to log in and see the same unreads and direct messages across my work PC, personal PC, and phone and iPad. The software has been reliable and relatively painless to update. The UI functions nicely on touch devices.
Before The Lounge I operated ZNC in EC2, but configuring device-specific clients to use it was a chore, and I didn't find myself using IRC very much. Now, I use IRC all the time.
Obviously if you're not comfortable maintaining a server then this isn't the option for you, but as a "power user" I've found the web UI perfectly tolerable. Instead of maintaining IRC clients on multiple devices and pointing them at ZNC, I maintain a single IRC client -- The Lounge.