The ECB have yesterday released the below information concerning recreational cricket.
There is also a FAQ document, which gives some further details: https://resources.ecb.co.uk/ecb/document/2020/06/10/6613ef5e-2432-420c-ae07-1596cd7b0272/Roadmap_for_the_return_of_recreational_cricket_FAQs.pdf
However, the bottom line for us is this:
For now, cricket is still suspended
There is no given date for when matches will return.
We just have to wait for the government to relax restrictions, which they will then pass on to the ECB.