Robert Pattinson already adopted a rescue dog he named Bear, but rumored girlfriend and Twilight co-star Kristen Stewart wants them to adopt a pet as a couple.

According to More! magazine, Stewart and Pattinson already refer to Pattinson’s dog Bear as their “baby” and “it’s really sweet. When Kristen returns to LA from the UK where she’s filming Show White and the Huntsman, I think they’ll adopt a new pet. They want to pick one together.”

Apparently, the couple are aiming to set up a home together soon, but as of yet, have not decided on whether to live in London or Los Angeles, although they’re already eager to buy a holiday home on the Isle of Wight where the spent the last two New Year’s Eve.”

The source added that “because neither of them could cook, the took some Italian cooking lessons together earlier in the year. I think that’s their idea of bliss-sitting on the sofa together at home after making a really great dinner.”