How to pay taxes as a 1099 employee

2024 is the first year I am not a W-2 employee.  I a a 1099 M&A advisor contractor with an Investment Capital firm.  August 1, 2024 I received my first compensation for a deal closed in 2024.  I also believe this will be the only compensation this year.

I understand I need to pay both employer and my portion of FICA as well as I need to pay federal and state income taxes.

How do I do this?