Inpatient NHS surgical ward staff here.
Yes, you must still isolate if you’ve had the vaccine.
If one member of the household has to isolate for surgery, the whole household must isolate. Our green ward was flooded with Covid over Jan/Feb from patients who self-isolated themselves but thought it was unfair on their families to make them stay home. Repeat - the WHOLE HOUSEHOLD must isolate. If you’re told by your hospital that the whole household doesn’t have to isolate, they’re wrong, sorry, because it makes no sense, does it? Yes, it’s completely impractical but there is zero point in one person ‘isolating’ with everyone else coming and going. If the whole household isolates, it therefore resolves the problem of someone you live with driving you in for the op - they can drive you in as they’ve also quarantined.
My DH has a minor op in June. We are very lucky and have a granny flat he can SI in as we don’t want to keep the DCs off school and I obviously can’t WFH. He will drive himself in on the day of the op. His DM (lives alone, bubbled with us) will drive me to the hospital the day after - I’ll drive him and his car back home. If we didn’t have the granny flat he’d have booked a hotel room and ordered food deliveries.
What I don’t get is the three day self isolation period for minor ops, yet 10 days for major ops. Surely they should all be 10 days? If a patient unknowingly contracts Covid when they present for their pre-op PCR on the Monday (that PCR comes back negative), dutifully self-isolates Tuesday to Thursday, remaining asymptomatic but steadily becoming positive, then has their op on the Friday, they’ve brought Covid onto the ward haven’t they? If anyone can enlighten me on the rationale of this I’d like to know...