How long until Google picks up the new address of our website

Website Building
#1

For a while our church website had a .netai.net subdomain

In getting to the new CP panel I had to change the subdomain to netne.net and it lost the www at the beginning.

Any estimates as to when Google will drop the old address and pick up this new one?

Any ideas for speeding the process?

Thanks

#2

https://www.google.com/webmasters/tools/submit-url?pli=1

#3

https://support.google.com/webmasters/answer/1663419?hl=en#make-permanent

#4

Have submitted the URL to Google now, thanks

#5