Hello Maryellen! I am so happy you have come to the Disney Parks Moms panel for advice and information about your upcoming vacation. As soon as I read your question, one resort immediately popped into my head,
Disney's Art of Animation Resort.
Art of Animation is a value level resort, which will have very affordable prices, the most budget friendly option would be to book a standard room in the Little Mermaid section of the resort.
You will find Disney bus transportation to all four theme parks as well as Downtown Disney, and the Disney Water Parks. Each time I have stayed at this resort we have not shared transportation with any other Disney resort property.
Disney's Art of Animation has a beautifully themed children's water sprayground area, as well as a zero entry pool. The 'Big Blue' Pool is themed after Finding Nemo,and is the largest resort pool on Disney property. While you are splashing around make sure to go under the water and listen as underwater speakers play some familiar Disney audio tracks. The resort also houses two other pools, neither of which are zero entry but are just as splashtacular.
I hope you find this information helpful. If I can answer any other questions please let me know!
Have a Disney day,
~Jen