Depending on the ages of the children, you may have limited options at the moderates. If both children are over age 3, you might be limited to Alligator Bayou at POR or a suite at CSR. With the price of the suites, you might be better off at either FW cabins or one of the deluxe resorts.
The FW cabins (more expensive than moderates, but Disney recently moved them into that classification) can sleep 6. There is a bedroom with either a queen or double (can't remember which) and two bunk beds, a kitchen and a living room with a Murphy bed. There also are a lot of activities at FW, apart from the parks.
If occupancy isn't an issue, I really want to be a child and stay at CSR. I loved the dig site!