Personally, I would stay at the Dolphin or move to a monorail resort (MORE expensive but with the easiest access to the MK). Best monorails resort for a family with a toddler is the POLY, IMO - especially if the pool is the most important amenity. Second choice would be the GF with its two zero entry pools and great splash area. If ease of access to the MK is the most important criteria, then choose the CR (preferably a tower, TPV room) for walking distance to the MK.
If you are only considering either the CBR or POFQ, I would choose a CBR preferred room. If I couldn't get a preferred rooms at CBR, I would book a POFQ standard room over a CBR standard room.
The most recent moderate renovation was at CBR, so, although all rooms at WDW resorts are clean, these rooms will have been recently refreshed. Best pool for toddlers at a moderate is at CBR, IMO, but you will find using it more convenient to access from a preferred room. CBR is a large spread out resort so rooms that are not preferred can be a distance from the main pool and dining area. It IS worth the extra $$ to stay preferred in CBR, IMO.
Both POFQ and CBR resorts have buses only to the main theme parks (not convenient for a stroller). POFQ does have a nice boat ride to DS, though, if that interests you. By contrast, the Dolphin has boat transportation (convenient with a stroller) to both DHS and Epcot, but only bus to the AK and MK.
What does 'more Disney' mean to you? For me it means being able to see the castle in the MK from my resort - hence a monorail resort for me. If your definition of 'Disney' is more in tune with animated kids movies, then you might want to consider either All Star movies or AoA.
POFQ is a small resort with fewer amenities (only a food court and one pool), but it has a new splash area for toddlers/young children that you might like. Also, there are the elevators which are convenient if you are on the second floor.
There are different advantages to staying at any of the WDW resorts. You just need to decide what are the most important features for you and your family. All the resorts are great in their own way.
Whichever you choose, enjoy your trip!!!