Gig work taxes

Hi,

I work a regular full time job with a W2 and also do gig work driving for Uber, Doordash, etc.  I understand I have to pay estimated taxes quarterly to the IRS, but do these payments include state taxes or do I need to pay state taxes separately?  Also, my wife has a full time W2 job and we file jointly, but only I do gig work. Do I file estimated taxes as married filing separately or do I need to file as I do for regular annual taxes?

 

Thanks.