Dream
The teacher/government/nurse rate is a special rate that is available to individuals in one of the aforementioned careers. The only thing you need to do is request that rate, in your case, the nurses rate when booking the ressie. When you arrive, have proof of employment. This can be a hospital or government ID or a pay stub with the employer's name on it. That's all you need to do to save at a Deluxe hotel in a great location.
We have stayed at the Dolphin in the past and love the location, the pool and the boat to two of the parks (Epcot and MGM) plus there are all of the benefits of staying onsite, except charging to your room at DTD and theme parks. Also, deliveries are made to the hotel guest relations instead of to your room. Of course, we made a purchase of two large items at the MK and they didn't put them in our room when we stayed at the AK Lodge in April.
We haven't stayed at the WL yet but plan to do so next April. Have a great trip where ever you stay. Maybe save the S/D for another trip if your family is set on WL.