Potential pros of buying property in the city of Stony Brook, New York, include:

1. Location: Stony Brook is a beautiful and picturesque town situated along the north shore of Long Island, NY. It is a historic area with a village area that is anchored by the Stony Brook University, one of the top colleges in the country. The city is also conveniently located near the Long Island Rail Road, making it easy to commute to New York City or other parts of Long Island.

2. Good schools: Stony Brook has one of the best school districts in New York, meaning that the quality of education is top-notch.

3. Outdoor activities: Stony Brook has a variety of outdoor activities including beaches, parks and preserves, and nature trails. Residents can enjoy hiking, biking, boating, and other activities throughout the year.

4. Low crime rates: Stony Brook is known for being a safe community with low rates of crime.

However, there are also some cons to buying property in Stony Brook, New York, such as:

1. High cost of living: Stony Brook can be quite expensive, with high housing costs, property taxes, and other expenses.

2. Traffic: While the town is conveniently located near major highways and transportation options, traffic can be a major issue, especially during peak travel times.

3. Limited job opportunities: Since Stony Brook is a relatively small community, job opportunities may be limited, especially in certain fields.

4. Harsh winters: Stony Brook can experience harsh winters with heavy snowfall, which can make it difficult to get around and may require extra maintenance for homes and driveways.

Overall, the decision to buy property in Stony Brook, New York depends on your lifestyle, preferences and budget. If you value a good location, great schools, and a beautiful natural environment then Stony Brook could be the perfect place for you.