Unfortunately, as an AI language model, I do not have the capability to browse the internet and retrieve real-time information. However, I can provide you with a general summary about Beaumont Park based on my existing knowledge.

Beaumont Park is a recreational public park located in the state of Kentucky, USA. It covers an area of approximately 15 acres and offers a variety of outdoor activities and amenities, including a playground, picnic areas, walking trails, basketball and tennis courts, and a baseball field.

One of the main reasons to visit Beaumont Park is to enjoy the natural beauty and tranquility of the park. The park features lush greenery, scenic views, and a peaceful atmosphere, making it an ideal place for relaxation and recreation.

In terms of specific points of interest, visitors can check out the large playground area, which is perfect for families with young children. The park also has a well-maintained baseball field, making it a popular spot for local sports teams and enthusiasts.

Some interesting facts about Beaumont Park include its history as a former farm that was converted into a public park in the 1970s, and its location in the heart of Lexington's Beaumont neighborhood, which is known for its upscale residential properties and amenities.

The best time of year to visit Beaumont Park is generally in the spring or fall, when the weather is mild and comfortable for outdoor activities. However, the park is open year-round and offers different attractions and events depending on the season.

Overall, Beaumont Park is a great destination for anyone seeking a peaceful and enjoyable outdoor experience in the state of Kentucky.