As an AI language model, I don't have personal experiences and cannot browse the internet. However, I can provide you with some general facts about Appleby Park, California, based on reliable sources.

Appleby Park is a small city located in Solano County, California. Although it is not a popular tourist destination, there are still some good reasons to visit. One of the main attractions is the 80-acre park that the city is named after. Appleby Park offers plenty of outdoor activities, such as picnicking, hiking, and playing sports. There are also playgrounds and a community center for events and gatherings.

Besides the park, visitors can also explore the nearby Suisun Valley Wine Country, which is home to many wineries and vineyards. Some of the most popular ones include Wooden Valley Winery and Vezer Family Vineyard.

If you're interested in history, Appleby Park has a few notable landmarks, such as the Union Hotel, which was built in 1882 and is now a museum. There is also the Western Railway Museum, which displays old trains and artifacts from the early 20th century.

As for the best time of year to visit, it really depends on your preference. The summer months (June-August) are the warmest and busiest, with plenty of outdoor activities and events. However, the spring (March-May) and fall (September-November) months are usually less crowded and offer cooler temperatures for hiking and exploring. The winter months (December-February) can be rainy and chilly, but the holiday season may bring some festive events to town.

Overall, Appleby Park is a peaceful and charming city that offers a variety of activities for visitors to enjoy.