Granted it's been many years since my reduction (over 20 at this point and still the best thing I ever did for myself) but I wore something like this https://www.amazon.com/Fruit-Loom-Wo...3381535&sr=8-5
I appreciated having the front closure right after the surgery as it was easier to get into. Also not sure if things have changed, but when I had mine, support in the traditional sense was not needed. The newly downsized girls sat weirdly high on my chest for several months until gravity could work it's magic and settle them down into place. So the bra was more to help with some light compression to decrease swelling and to keep them from moving too much when going about my day. Obviously, no high impact activity so significant support wasn't needed.
Good luck with everything. I hope you have a speedy recover and that you love them!!!!!!