Morning: Start your day by visiting the Laxmi Vilas Palace, a magnificent 19th-century palace that boasts of Indo-Saracenic architecture. Next, head to the Baroda Museum and Picture Gallery which is located inside the palace compound and houses ancient artifacts and paintings.
Afternoon: After a quick lunch, visit the Sayaji Baug, a sprawling garden that has a zoo, museums, planetarium and a toy train. Later, visit the Maharaja Fateh Singh Museum which has an impressive collection of paintings from the royal family's personal collection.
Evening: End the day by visiting the Kirti Mandir, a stunning temple that is dedicated to the first couple of the Gaekwad dynasty. You can also witness the light and sound show which showcases the history of Vadodara.
Morning: Start your day by visiting the Somnath Temple, which is one of the 12 Jyotirlingas and is believed to be the first among them. The temple is known for its spiritual significance and grand architecture.
Afternoon: After a fulfilling lunch, visit the Somnath Beach which is popular for its calm and serene atmosphere. Spend some time enjoying the beach and watching the sunset.
Evening: End your day by visiting the Bhalka Tirtha, which is the place where Lord Krishna was hit by an arrow and is believed to be the location where he left his physical body. You can also witness the light and sound show which showcases the history of Somnath.
If you're interested in history, you can also visit the Champaner-Pavagadh Archaeological Park which is a UNESCO World Heritage site, on your way from Mumbai to Vadodara. You can also consider visiting the Gir Forest National Park, which is around 80 km from Somnath, if you're interested in wildlife. To maximize your fun, try some delicious local cuisine in Vadodara and Somnath.