Where to pick your own strawberries in Dane County Strawberry season is almost here. May 30, 2021 7:00 AM Sam Jones Updated: June is the best time to pick strawberries. Starting in June, locals will have the chance to pick their strawberries at a slew of local farms. One of these establishments is Bures Berry Patch in Barneveld, owned and operated by Ed and Kathy Bures for the last 20 years. The Bures family grows an assortment of produce including asparagus, rhubarb and potatoes in addition to their pick-your-own varieties of strawberries, peas and pumpkins. Kathy Bures says June is hands down the best time to pick berries.