Pros of home ownership in the city of Batavia, New York include:

1. Affordable Housing: Batavia's home prices are lower than other cities in New York, and lower than the national average.

2. Good Schools: Batavia City School District has been ranked among the top 50 school districts in the Western New York Region.

3. Growing Job Market: The job growth rate in Batavia has been increasing over the years, making it an attractive location for job seekers. The healthcare sector and manufacturing are some of the industries that are thriving in the area.

4. Outdoor Activities: Batavia is located near a range of outdoor recreation options such as golfing, fishing, hiking trails, and more.

Cons of home ownership in the city of Batavia, New York include:

1. Cold Winters: Batavia can have harsh winters with temperatures sometimes dropping to the single digits.

2. High Property Taxes: Property taxes in Genesee County are on average higher than the national average, which can be a burden for homeowners.

3. Limited Entertainment and Dining Options: Batavia is a smaller city, therefore the number of entertainment and dining options may be limited compared to larger cities like New York City.

4. Heavy Traffic: The traffic can be heavy during rush hour which could make commuting a bit challenging.