I think St Thomas is a safe choice, lot of my clients chooses over Newham ( I am newborn photographer)
I’m currently at newham and you have the option of a private room for £90 if they are available. Sometimes they’ll just give you a private room if they’re not in need. Also once you’re past the 18 week point at Newham you can go into their maternity triage for any issues and they’re usually quite quick. I found my care at Newham really good
I’m in Barking but self referred to Homerton. They have an excellent NICU and I’ll be having my second there too.