I don't know anything about the neurologists here so I'll leave that to others. I will suggest this: once you find one, I highly suggest you get a referral and your full records sent to them from your current doctor before you even make your plane reservations. I had to do that months before to get an appointment for 2 months After I got here.
As far as medications, I'd ask your doctor there for a three month prescription (the max most insurances will pay). Also, find out if your company uses the same insurance here and which pharmacies are preferred. Find a couple closest to where you'll live to see if they carry that medication. If not, don't worry, most will order for you with a valid prescription, just have enough of a supply to wait a few days to a few weeks. In other words, do everything you can, as soon as you can.