My 2 children go to LBHS - DS in Year 1 and DD in Nursery. My 2 kids went to Kids Allowed from about 12 weeks too - it's an Outstanding (Ofsted) nursery by and large, not cheap but you get what you pay for. My kids certainly had some fantastic key workers, some of whom have become family friends.
Personally, I chose to move mine from Kids Allowed preschool to LBHS for nursery as I think the structure that LBHS offers sets them up well for starting school and my DD has certainly been considerably happier and content - in fact, is thriving in nursery at LBHS now whereas we'd got to an uncomfortable, unbreakable routine of tears on drop off at preschool which had got really wearing for both of us. It also meant both DS and DD could go to school together and it saves me one drop off, which is great in the morning !
We live some distance away from Cheadle Hulme itself and I commute in as I work local to LBHS, hence why we've always chosen schools/nursery in this locale. We do plan to move to the area but have been holding off owing to recession/job changes and just the general trauma of having to make it look like 2 kids don't live in your house in order to sell it, rather than it looking like it's been ransacked.
LBHS is a truly fantastic school. We looked at local schools and quickly discounted and also looked at other private schools. I guess it's what works for you, I just knew when I walked into LBHS and I had my DS's name on waitlist for ages. I registered DD for a place when she was a couple of years old to be sure she got in !
What I like best is their commitment to find your child's strength or talent and nurture it. It's a happy, friendly place where the kids are very polite and it has an immensely familial, positive atmosphere. I've lots of friends who have made the same move as us from nursery to LBHS and I have to say everyone I speak to is thrilled with the school. My DS is getting very into French in Yr 1 which is great. His confidence has really come on and I see that he is being nurtured by LBHS and it's immensely kind, caring staff.
For those of us that work, LBHS offers a pretty nifty breakfast club and after school care as well as holiday club. There's a strong PTA and we have decent Mum's nights out, there's lots for people to get involved in. The school fund raisers are decent too, a fab Xmas fair and a summer ball.
I'd write a letter saying how much you'd like a place for your child and why. We did for DS and I know that some parents hold multiple places then make up their minds late - as one of our friend's had been told they couldn't get a place (for our DD's best friend from nursery, eeek!) but then one came free.
Hope this helps. We love it, feel free to PM if you want more info.