Medical management advice

Hi, I recently found out I had a missed miscarriage on the day of my 12 week scan (should have been 12+4). It turns out I had miscarried weeks ago, despite having an internal scan at 10 weeks where we were told we were actually having twins. It has been a very emotional and painful few weeks to go from having one baby, to two and then to none. I’m going in next week for medical management because my body hasn’t processed the miscarriage naturally. Can I ask for people’s advice (if based in the UK) as to whether it’s best to go through this at home or in the hospital? I’m really in two minds. I’d rather be in the comfort of my own home, but wondered if the process is sometimes quicker at hospital? I wondered whether in the hospital they can also confirm when things are ‘over’ as opposed to guessing at home. I also like the idea of the pregnancy tissue being taking for medical research to help people going through similar in the future. Any advice or experiences would be really helpful. Thank you