Can you make it to the Norwalk Metro station on the green line with all that luggage? If so, take the 460 Metro bus from Norwalk to Disneyland. Or take Flyaway to LA Union station and then Metrolink to Anaheim at a higher cost but less hassle with one fewer transfer.
I don't think the small savings from the Metro Transit station will be enough to mitigate the eye watering Uber prices for longer distance rides like yours unless there is a surge at the airport.
How much might a rideshare be from Norwalk, approximately? The Flyaway to Metrolink could take forever depending on schedules. Norwalk to 460 is probably significantly faster