When my first daughter was born, I read many books about what to do with babies. Those books lit some interest. BTW, you can get a free book for activity ideas for kids 1 to 5. When I started doing playful educational activities with my daughter, we both enjoyed so much that we continue doing till this date. Playing (learning) math games using weekly ads is our latest favorite.
My toddler also joined the fun as soon as she was born. We play the games mentioned in our most popular post games to play with 3 year without anything every time we get a chance. We do fine motor skill activities like stringing cereal box beads and aluminium foil cutting activity or art activities like printed lady bugs or printed flowers!