+1 for this.
Travelling with babies since three years (now the older is 3 and the younger almost 1). Staff is just amazing and super helpful at LHR, recently they also allowed us to get through GF although I was the only Gold (my wife has no status and the 3 years old counts as guest now) without me asking. Onboard experience has always been extremely helpful.
I also agree on the allowance comment. It is very generous indeed and with Gold status it is just ridicolous. When we are all on the same booking I can carry up to 7 pieces up to 32kg each plus 2 car seats and 2 buggies - not that I ever wanted to lol
I do enjoy travelling with BA overall, but I must say when travelling with kids it really shines.