Howdy Angela! Great question!! Both resorts are wonderful! In fact, both are our home resorts.
Disney's Saratoga Springs Resort and Spa is amazing! The advantage of this resort is that you will have an additional full bathroom in your villa and close proximity to Downtown Disney. The pools are great and you can't beat the spa.
That being said, based on the ages of your children, I think your pick is the way to go.
Disney's Beach Club Resort is charming and has so much to offer your family. Stormalong Bay is a 3-acre water wonderland that will be loved by everyone in your family.
You are within walking distance to Epcot and can either walk or boat to Disney's Hollywood Studios.
Cape May Cafe offers a fabulous breakfast buffet with some of your favorite Disney Characters.
You will have a magical time regardless of the resort you select, but according to my 4 and 6 year olds, Beach Club is the resort for you.
Once you have your resort selected, please let me know if you have any other questions. I might be able to help you find some hidden treasures for you to enjoy while you are there.