Where can I go berry picking near Dallas, TX?

I want to take my husband on an interesting date. I thought berry picking would be fun and relatively cheap. I just wanted to do something different. I tried searching it on the internet, but all I found were orchards far away (too far to be worth it) and restaurants. Are there not any places we can go pick berries and fruits nearby? We are in Carrollton, TX which is about 20 mins north of Dallas.