C.M.
My 27 month son is super active. I have found that he likes to be on-the-go just like me so we generally go somewhere daily. In a few months your child's imagination will kick in and he'll have more independent play. Here's my breakdown:
He's been going to a montessori school since 20 months
He goes to Little Gym one day a week (great for kids with energy!)
On days with nice weather I take him to a park or to the zoo...bad weather days we may go to the children's museum
He sleeps from 7-7 and takes a 2 hr nap a day
We don't bring him to bed with us because we really wanted to foster independent sleeping & wanted to keep our bed generally as our marriage bed (each parents' choice)
He's on a sippy cup and also drinks from a regular cup when seated at the kitchen table. Montessori teaches "sit and sip" which has works great - just say it and he knows where to go.
Good luck! Maybe you could get plugged in to a local mom's group or join a Little Gym?