We stayed at SSR for the first time last month and we were VERY impressed. We were lucky enough to be upgraded to a 1 bedroom villa even though we booked a studio at the FL resident rate special they had going then.
We loved this resort. It's absolutely beautiful and has a very warm and "fuzzy" feeling. We stayed in the CP section, just my 8 yr old dd and I. We had a great view of DTD which ironically we only went to one time so even though we were within walking distance we didn't go there as much as I thought we might.
We did take the bus back from the BW to DTD one night which was much more convenient than transferring buses, but I wasn't TOTALLY comfortable walking back with her at 10 at night. The path was well lit but there was no one else around so I did feel a little uncomfortable. If my dh was with us I wouldn't have felt that way.
We did make it to the main pool one day for about 30 minutes before it stormed and one day we did some activities at the main area which was a lot of fun. We are not
DVC members and if we didn't stay at the S/D so much I would have been VERY tempted to buy into DVC this trip as I was very impressed with almost everything there.
As already mentioned the Springs is a great section to be in if you want closer access to the main area. We did drive and park by the main area one day and walked the other to/from CP.
I would stay in CP again in a heartbeat (we loved the view), but I would be open to staying in the Springs again too. Not sure about the other sections.
In your case, with young children you'd probably want to be closer to the main areas, main pool, activities center, etc so I'd almost recommend the Springs.