Thank you everyone for your input! Yes, we will be paying the healthcare surcharge as part of the visa process. I hope this ensures a smooth transition into NHS.
Based on all the info provided (Thanks for the NCL self-referral info!), I'm assuming that upon arrival, I would register my entire family (husband, self, 1-yr old) at a GP that serves my postcode. Simultaneously, I will self-refer to a hospital such as Whittington (thanks for the recommendation :) and indicate the GP I registered with (although at that point I may not necessarily have had an appointment with them yet?).
I would not classify my pregnancy as low-risk per se, as I've a history of GD, Pre-e, and oligohydramnios with first pregnancy. Currently, I've just been prescribed meds for hypertension as the drs are seeing some high numbers. I'm not sure if in the UK they would consider it dangerous to attempt vbac with my recent(ish) c-section? Any experience with this? I would like to go into the conversation with the medical team in the UK without arguing off assumptions based on the protocol used in the States.
Due to my husband's job here ending and the job start date in UK, I don't think it's possible financially for us to remain in the US without a salary until baby is born.... although this would of course be my preference for obvious reasons.
Also, yes, we will register baby's birth at the embassy as someone mentioned.
A huge thanks again to each person who contributed insight to this convo! xx