State tax filing

So, of course I have a similar situation:

 

- Lived & worked in NYC, where my company is based until the offices closed and we moved to WFH

- Came to visit MD in March, worked from here until July, then went back to NYC for a month. 

- Moved to MD in August, changed my mailing address in the company HR system (at this point, I've slept in Maryland for 180+ days, making me a 'resident', I think) 

- This triggered some change in my tax forms as well, because when I looked at my paystubs, I'm no longer paying NYS tax. Only Federal tax is being taken out of my paychecks. 

 

Should I try to file new paperwork to pay for MD state tax? Should I try to continue to pay NYS tax? Should I expect to be hit and owe a bit of money to some state next spring? At this point, it's been two pay periods without paying state tax anywhere, so I'm already saving as if I'll owe a bit of money.