Hello Crdavis and welcome to our family. Its good you have done research before bringing one of these awesome creatures into your home, it will help you in the coming weeks, months and years you share with this new companion. My advice is to open the cage door and allow your bird to come out on her own when she is ready, they like to do things on their terms and she may want to interact with the family right off the bat but if not let her decide if she wants to come out or off the cage. Greys are flock animals and want to be with their family, with you being part of the family.
I would really like you to leave her wings unclipped, most of us here are of that opinion, birds were meant to fly and if you can manage keeping the doors and windows closed when she is out to prevent any escapes then she will be a happier bird. There is nothing like hearing the flap of wings when your bird is coming to find you or just enjoying the freedom of flight.
The main thing is to just let her make the decisions on when she wants closer interaction with you and take it slow and easy for grey time is slow and it takes time and lots of patience on our part to not rush it with them, trust is earned and that can take a while.