Hi,
Well, what don't you like about your setup?
Streaming even in high quality is still compressed, so I wouldn't stress getting some reference/mix level headphones or something. Just something well made, comfortable and with a signature that you find pleasing for what you listen to.
Have you tried your SR60E's with L-cush pads instead of flat pads?
Do you like your Grados or do you want a different sound?
Do you want semi-open, open or closed back?
Very best,