We also have 4 kids...ages 12, 11, 6, and 2. Keep in mind that you can also do a deluxe stay with a baby under 3...according to Disney that counts as 5 in a room so you can stay at most deluxe except WL and you could also still do POR.
We did the deluxe route for many years and enjoyed it. However, our preferred accomodations these days are two rooms at a mod. We have not tried the DVC resorts... a vacation with four kids entails considerable work anyway, so I really want housekeeping services

We looked at the family suites, but we like have two bathrooms and the sleeping accomodations in the suites looks uncomfortable to us. Add in no deals offered for the suites and they were a no for us.
Happy planning