Check with your local parks and rec center or the YMCA.
My daughter never played either sport. She will hit or catch some balls, but, she has never been on a softball team.
I didn't grow up in sports, but my husband was big on baseball, motor x, and tennis. It seems baseball was the big thing in his family, from his granny all the way down to his little sister.
Our daughter plays competitive hockey, figure skating, and does triathlons. She also plays tennis from time to time, but doesn't take tennis too serious.
In my opinion, the benefit to sports has brought out her personality. She was a very shy and timid kid. She still likes one of us to be close by, but is learning to focus on her sport and have fun with the kids. As well, I think she is more caught up in her sport than having the next best glittery beanie or scarf, she wears a uniform to school, so her wardrobe is uniforms, gym clothes, and a handful of dresses and a pair of jeans for jean day. At 9 years old, I am perfectly happy with her not being caught up in the latest fashion. She can do that later in life, if she chooses. When she grows up, she will be well rounded and will hopefully know how to spend her free time. At nine, she knows the benefits of eating healthy foods and snacks. She is learning to work with a team, as well as, independently. She knows how to push herself to the next level and knows that she can. And finally, balance, she balances her time wisely to include her sports and academics.
I agree, let your daughter explore several sports and then offer to sign her up for more classes if she would like. Maybe a summer camp will help her explore a little of everything, from basketball to cooking.