This represents a distillation of what I’ve been able to gather. While not definitive, I hope this will provide a starting point for discussion.
Everyone already is aware of the new July fifteenth deadline for payment of your 2019 tax. You can file form 4868 on or before April fifteenth and defer, as well, need to file a tax return for six additional months. However, you would still need to pay any tax owed by July fifteenth.
Word is the IRS is also granting relief to those who must pay 2020 estimated tax on April fifteenth. I’m a bit uncertain, but I think that payment also is deferred until July fifteenth. I’ve not been able to ascertain what, if any, changes apply to our June fifteenth estimated tax payments.
The IRS apparently has issued guidance on all this stuff, but that writing is not yet in widespread distribution. If anyone has it, please post a link.
ETA
CNBC has just published an update on this matter. There is a move afoot in Congress to change the filing date to July fifteenth so that it coincides with the new payment due date.
The filing date might be extended to coincide with the new payment date
This situation is clearly in a state of flux. Stay tuned for new developments.