Not sure how the weather is where you live but here in middle Tennessee it's so hot, dangerously hot. With a newborn and a 2 year old that's a combo of disaster if you can't get outside too much!
Here is one of my favorite games with my 28 month old!
I take his favorite small toys like his racing cars or Dino's! I then hide them throughout the house. My little guy loves Searching for his toys. While he is looking for them I give him directions like.... Look up, down, behind you, to the left, underneath etc. It teaches him directions, and places. Recently I found that he is using these words more and more in his everyday language:)
Live with passion and stay cool!