From what I know it’s: Right shoe on, left shoe on, tie left shoe, tie right shoe. When removing, it’s untie right shoe, untie left shoe, remove left shoe, remove right shoe.
I hope others can expand on my memory, but I understand that putting on/off shoes starting with the right follows the same reasoning as starting all things with the right. Tying the left shoe first has to do with the fact that we put tefillin on the left side. I wonder if a left-handed person who puts tefillin on the right side would also tie the right shoe first.