I have to say it seems to me to have been rather muted so far, yes the BBC website is wall to wall, but it had vanished from the main news page by this morning, pretty much how it was when we won the league, and completed the treble.
I also expected to see 100's of liverpool shirts today where I live (prime plastic territory), and the only thing I've seen is 2 spurs flags hanging from a flat window.
Sky are already concentrating on the Nations League it would seem, though I'll confess I haven't looked at SSN.
I don't bother with the written media much (in print or online) so its easy to avoid I guess.