I've never heard of anywhere in the UK not scheduling at least one home visit for those planning a home birth. Firstly, the midwife needs to know she can get to you - here they write down detailed directions so that whichever midwife gets called on the day can find you quickly. They also need to check for things like how accessible your home is for an ambulance crew in case that became necessary so that they can be aware of any special arrangements that might need to be made. They also usually drop off a box or bag of the essentials they need for the birth, such as cord clamps, sterile gloves/scissors/etc. They will bring a lot of the kit such as oxygen and any drugs with them on the day but this bag/box means they have the bare essentials if a midwife has to be called straight to you from home while another goes to the hospital to pick up the kit and you give birth quickly. I was at a home birth last year (I'm a doula) where this happened but because they had the box the midwife was able to do what she needed to safely and the new parents just had some extra time cuddling their new baby while we waited for the rest to arrive.
You will be full term at 37 weeks and your NHS midwife team should be ready to come out to you any time from then. I suggest you call up your hospital/midwife unit and ask to speak to one the supervisors of midwives to tell them you don't know if have been officially booked in for a home birth and you want to make sure everything is in place. Ask specifically about a home visit. It may be that your local team don't always do them and bring everything with them on the day but I don't think that's common practice in the UK.
Good luck!
ETA: If you really don't like the midwife you have been seeing you can tell them that you don't want this midwife to attend you any more. You are entitled to do this - it's your right - and you don't have to give a reason, though by all means do if you want to. They then have to provide an alternative midwife. We've done that here. One of the midwives on our team we just don't click with and we have no confidence that she will respect our wishes on the day so we've asked that she not be put on the rota to attend us. They've said this is fine (she doesn't like home births either) so if she happens to be on call when I go into labour she will go to the unit and relieve the midwife there so that one can come out to us.
Gina. x