I have an old pewter goblet with animal motives on it I had used for my altar for a few years, but it got strange stains inside, so I decided to not take it for any kind of ritual whine or other offerings anymore. Instead I turned it into her goblet, filled it with some gemstones she likes and every time I find some coins around the house or on the street I'll put them in the goblet. She really appreciates that. Any kind of treasure chest with coins and gems is a good choice.
She also loves to protect stuff (or people). I have a space in one of my shelves where I put change I might need and she keeps my oldest son's attention away from it. (Puberty he's doing everything he's not supposed to do on a daily basis...)
If you have a place nearby where bird of prey live, you can go for a walk there. It's usually a place where they feel comfortable, so your gryphon will also enjoy the scenery and energies there. Mine doesn't like being inside too much, she really enjoys if I go running early in the morning, when no one else is around and she can spread her wings in the early morning air.