Pros of buying property in the city of Fallsburg, New York can include:

1. Natural beauty - The city of Fallsburg is surrounded by scenic mountains, making it an ideal location for outdoor enthusiasts.

2. Access to amenities - As a semi-urban area, Fallsburg has a variety of shopping centers, restaurants, and entertainment options to offer.

3. Growing real estate market - The city has been experiencing growth in the real estate market over the last few years, making it a prime location for investing in property.

4. Proximity to New York City - The city is located within a reasonable driving distance from New York City, making it a popular location for commuting professionals.

Cons of buying property in the city of Fallsburg, New York can include:

1. High property taxes - Property taxes can be on the higher side compared to other areas, which could impact the affordability of owning a property.

2. Limited job opportunities - Fallsburg's job market is relatively small, which could make it difficult for some residents to find work in the area.

3. Extreme weather conditions - The city can experience harsh weather conditions during the winter months, which could impact the overall living experience.

4. Risk of natural disasters - Fallsburg is located in a region that is prone to natural disasters such as flooding, which could pose a risk to your property.

It's important to do your own research and consider your personal priorities and preferences before making a decision on buying property in Fallsburg, New York.