Hi OP. I'm also expecting twins, later this year. Just wanted to add that as well as listening to professional advice and taking into account the standard procedures and reasons behind them, your birth is YOUR choice and there is nothing you would be "not allowed" to do.
I personally am having a home birth with my twins. I've had one natural water birth in a MLU with my DD, all was very straightforward and I was in active labour for 2 hours. It was an amazing experience for us both. She was born into a calm environment and I didn't have any recovery process at all, was out walking the dog with baby in a sling the next day.
Obviously this is my personal choice/past experience and I think my very straightforward previous birth was taken into account by the consultant. I'm choosing to only have one extra scan after my 20 week scan. I'm choosing not to be induced. I'm choosing to have the birth at home and not have any vaginal examinations and only intermittent monitoring. It is very much our own choices when it comes to our births, the hospital can encourage you in a certain way but as long as you make an informed decision they should agree with your preferences.
I've also agreed should there be any inclination of something not being right I will transfer to the MLU immediately (which is connected to my local hospital) and I am more than willing to go with the flow of things, I know you can't predict how these things will go. All I know for sure, and which my consultant has agreed with, is that twin 1's arrival should be treated as if it were a single pregnancy and if it was a single pregnancy there would have been absolutely no worries about me having a home birth. The only worry with twin 2 is that they may be breech (which you can still deliver safely with experienced midwives at hand) or in extremely rare cases (I heard less than 5% from my consultant) twin 2 lies transverse and doesn't want to emerge - in which case a section is necessary.
For me I wanted to give these two the opportunity to have the beautiful, calm and natural birth that my DD did and I don't see personally why that shouldn't happen, I am the kind of person who hates fuss and interventions and people so immediately going for all the hospital's "standard procedures" did not sit right with me.
Sorry for the super long post but I just wanted to give another side/opinion to twin birth and antenatal care. Hope everything goes well for you!