There are good schools and colleges in Vijayanagar. You will also have plenty of places to go shopping for your monthly household needs. You can catch buses for the rest of the city from the bus stand. The roads are wide and well maintained and there are several finished as well as upcoming real estate projects in this area. The drainage system is excellent, with continuous water supply and electricity. Overall Vijayanagar is definitely a good place for you to move into with your family.
No other locality in Mysore is probably as good as Vijayanagar for a residential family home. This place is well connected with the rest of the city via Hunsur Main Road and Ring Road. Best thing is that this place is close to industrial areas like the Bharat IT hub, Metagalli Industrial area, and so on. This locality has good hospitals like Indira Nursing Home, Benaka Polyclinic, Vijayanagar Nursing Home and Apollo Family Clinic. There are good colleges here, like Marimallappas College, DMS College of Arts, SVEI Engineering College, and so on.
Yes, Vijayanagar extension is definitely the best place in Mysore for a family home. This is one of the top localities in the city and has all the facilities that you need for your family. If you have kids, then there are several good schools in this area, like, Kautilya Vidyalaya, Supreme Public School, Mount Litera Zee School, NPS International School, and others. The SVEI Engineering college is also located in Vijayanagar. Other than the educational institutes, this place is just 8km away from the railway station.