Turning residence into a rental

[Barry Je]

I'm moving to NYC but just bought a house three months ago here (very last minute job offer that I just couldn't turn down).  I'd like to turn it into a rental.  It's new, no issues, ready to go.  

What kind of insurance policy do I need to change my homeowners policy to?  Does this alert the mortgage company?  Are mortgage companies converting mortgages from residence to rental/investments?  How is that done?  Can it be done in these weird COVID times?  The house was bought for 1.1M slightly over 3 months ago.