Firstly, I would live near the school of choice (or be happy with the school when you choose to live).
Birchwood is great value for money and particularly great for jumping on/off the M62. The further south of Warrington you go, the further you are from the motorway and the higher the house prices.
Birchwood is nestled in a nature reserve - the green spaces and environment are incredible for an ordinary town within a new town. We do pay higher Parish charges than anywhere in Warrington, but it is absolutely worth it. The town is designed to be safely walkable without having to cross many roads. You could avoid all roads if you wanted to (and had the time!)
I can vouch for Birchwood High School (2 children). Their pastoral team is brilliant, most of the teachers are great, and if you live in Birchwood, it is walkable/cyclable. But as with all schools, it depends on the child. They support children with learning disabilities and manage behaviour issues well. They have lots of extracurricular activities, good GCSE options, and some of the pastoral and SEND staff have gone above and beyond for my family - they have made so many reasonable adjustments for us.
But it is a mainstream school, so there is a limit to what they can reasonably accommodate, and we've reached the end of the road in terms of that, sadly.
So it really depends on your child and their needs. They can accommodate SEND and SEMH well, and it's a lovely place to live.