Thread: Advice for Maine Coon newbies

Hello, our family have recently (10 days ago) adopted a female Maine Coon; she is 2 and a half years old. We've had cats before, usually strays that have adopted us! We'd not consider ourselves amateurs with cats at all, but haven't ever owned a Maine Coon. Now with young children, we'd researched and came across the Maine Coon as the 'perfect' choice as there was a consensus regarding their character as friendly, enthusiastic, intelligent, patient and good with kids.
After an expected quiet few days, our newest family member began to assimilate brilliantly - chatty, following us all over, finding new and interesting ways to squeeze into small gaps etc
We've been experiencing some quiet different behaviour the last few days. Scratching and biting mostly - perhaps the best way to describe these is as 'play' as whilst some blood has been drawn through scratches, the bites are not hard; something of a hold almost, but not hard enough to break the skin.
We've considered a few things... It's early days and whilst we're being petitioned with body rubs (followed by a swipe) we're thinking maybe it's a bit to arousing? We've read that Maine Coons remain kitten-like for longer and are slow to mature and maybe this is immaturity?
The previous owners described a cat that was cuddly and enjoyed daily grooming and would greet them at the door expecting to be picked up. There was a mention of her 'play' biting but when asked, there were no other issues. Of course, it's very early days! Maybe we're being very impatient... We'd really like to have things work, for us all to be happy and not to start worrying about contact with our beautiful cat! We'd be very grateful for any thoughts and advice as to how to respond?
Many thanks