Mysore is a beautiful city with a rich cultural heritage and there are plenty of things to do and see. Here's an ideal itinerary for 2 days in Mysore that is family-friendly:

Day 1:

• Start your day early by visiting the Mysore Palace, which is one of the most popular tourist attractions in the city. The palace opens at 10:00 AM, so make sure you reach there on time to avoid the crowds.
• After exploring the palace, head to the nearby Devaraja Market, which is a bustling market selling everything from fresh produce to handicrafts. You can pick up some souvenirs or try some local snacks here.
• Next, visit the Sri Chamarajendra Zoological Gardens, also known as the Mysore Zoo. This zoo is home to a wide variety of animals and birds, including tigers, lions, elephants, and more. Your kids will love seeing all the animals up close!
• In the evening, head to the Brindavan Gardens, which is a beautiful garden located about 20 km from Mysore. The garden has a musical fountain show in the evenings, which is a must-see.

Day 2:

• Start your day by visiting the Chamundeshwari Temple, which is located on top of Chamundi Hill. The temple is dedicated to Goddess Chamundeshwari and offers stunning views of the city.
• After visiting the temple, head to the nearby Nandi Statue, which is a giant statue of Nandi, the bull who is Lord Shiva's vehicle. The statue is carved out of a single piece of black granite and is quite impressive.
• Next, visit the St. Philomena's Church, which is a beautiful Gothic-style church located in the heart of the city. The church is over 200 years old and is a popular tourist attraction.
• In the evening, head to the Kukkarahalli Lake, which is a serene lake located in the heart of the city. You can take a leisurely walk around the lake or rent a boat and go for a ride.

These are just some of the things you can do in Mysore in 2 days. Of course, there are plenty of other attractions and activities that you can explore based on your interests and preferences.