Welcome to the world of bulldogs! Hard to believe, but Daisy sounds like many bullies here. Since she's a little bit older, she will be mellow and will spend most of the day sleeping. Expect up to 18 hours! Seeing she just joined the family, let her get familiar with your routines and other dogs. Eventually she'll be comfortable enough and realize that it is fun to play. The type of toy depends on each pup …. one of my guys can only have indestructible toys such as antlers and jolly eggs, the other loves stuffies (and won't destroy them).
Try to include her when you play with your other pup, and be as enthusiastic and have joyful energy as you can … she'll sense that. Playing tug-o-war works for my guys. Go for as much walks together, etc, etc. G'luck! Daisy sounds like a doll!