I am (hopefully!) qualified to answer you as I have a springer and a working cocker. The springer is 2 and the cocker 11 months. They are our first dogs.
They are both fantastic to be truthful. Lovely gentle temperaments. Tolerant. Friendly. Loving. Eager to please. Love to be trained. Both are happy, fun dogs.
Be aware that they do need a good amount of exercise, off lead exercise, chasing through mud, woods, water, bushes, fields etc.
Ours get two good long walks a day, and would take any amount we choose to give them. Giving them lots of small training sessions helps exhaust their mental energy as they are both clever breeds. The Springer will come in for a 90 minute walk and be happy to go back out again 
We keep ours clipped and they are both mud magnets.
Just be aware that the exercise requirements are non negotiable really in the main. That's rain, shine, wind, hail, school holidays, when your DC are ill, so you might need to think about this a bit. My DC are teenagers so no issues there.
Also, your DC will most likely start the round of after school clubs shortly, which can take up loads of time. You might need to figure our your plans for the dog with this in mind.
Research your breeder carefully, no Gumtree or Pre-loved ads. Champdogs has good information. Use a pre planned litter if at all possible. Expect to be grilled thoroughly, our cocker came from a game keeper, and we were very thoroughly vetted as we were not going to work him, so he needed to ensure we would meet an active dogs needs.
Not sure about a sprocker, I am not sure what you are gaining over and above having either one of the breeds itself.