While it is convenient to bring paper plates and plastic utensils, it is wasteful. (Big party? Ok, this does not apply) Try bringing your own reusable plates, cups and utensils. Put them in a picnic basket to bring to the pool everyday!
Local stores like Target and Ikea have a huge selection of reusable plates/cutlery.
Thrift Store - Pop into any thrift store and you can find plastic plates and cups as well as mismatched silverware.