Information on the payment deferral was posted 2 days ago:

https://home.treasury.gov/news/press-releases/sm948

There's a link to that page from the IRS home page.

The filing deadline was just moved to July 15 two hours ago.

Well, I'm guessing there's more of an approval process for updating the IRS website or communicating there than they ... tolerate for tweets, but still, it does seem like too much of a lag, even by the standards of bureaucracy.

The payment deadline was moved 3 days ago, the filing deadline was moved this morning

the COVID box to the left of the filing deadline does lead to a page with the proper dates.