I'm in the exact same position as you, and didn't have a very positive consultant appointment unfortunately. I didn't think about a homebirth properly until I got home and got angry about what he'd said. So I obviously didn't mention homebirth.
He didn't ask me where I wanted to give birth, he told me I would give birth in the hospital and I was NOT allowed a homebirth for the reason that they would want to monitor me. Uterine rupture etc.. but thats only 0.5%? maybe more if you had your previous baby more recently, but for me it was 4yrs ago.
If you read a few posts back you'll see in a bit more detail of how I felt after it, but the main thing that got me totally shocked was he said that they would only let me labour for 8hours, which I know is never going to be long enough, not to mention the added pressure of being on a clock.
I haven't spoken to my midwife yet, but at my next appointment will just tell her that I'm planning one, its not up for discussion. She won't support it, as it goes against 'hospital policy' etc.. I've thought very carefully about it and feel I will be more relaxed at home, with more chance of a natural birth. I'm not going to see the consultant again so will be cancelling the appointment they made for me at 36weeks because I don't want to hear any negativity about my choice so close to birth as I will be more vulnerable then.
So that I have someone supportive I'm hiring a Doula, then even if I do decide to transfer on the day I will still have her to relay my wishes and hopefully still get my natural birth. I really want to do all I can to avoid a c-section, for me it was one of the most awful experiences I've been through, and has taken this long for the emotional scars to start to heal.
Be prepared to be strong in what you are saying, and really question why all the time to what they are saying.
Good luck and look forward to seeing how you get on!