Well done
My first greyhound I gave a home too, I did not now what to expert with her as she was a crule case. And the kennels told me she was not homeable and would have to live her live in kennels.
I did not get too much at first: a nice soft bed, toys, very sort brush, 2 rasie stands 1 of water and 1 for food. small bag of food just in case she did not like it, house collar outdoor collar and lead.
When I got her home the first thing I did was to let her go outside in the garden. once in the house I just let her find herself.
The hardes thing I found was finding something she like to eat.
For 7 years she gave me so much love (in her way) . I wish you a lot of happens with your new greyhound.