Sorry, it's taken me a while to get around to listening. I'd say it's a C Chromatic. First note is an F#, draw 6 with button in. From my memory of the first phrase it's F# E F# G F# E B Tabbed, it's like this: -6< +6 -6< +7 -6< +6 -4
Where - indicates an inhale, + means an exhale and < means a button push
I may not have those notes exactly right, but I hope that can get you started enough that you'll be able to hear where I've gone wrong and find the correct notes.
Oh, 12 hole C Chromatic would be fine. I'm no expert on the tonal qualities of various chromatic harps, but if I had to guess I'd say it isn't a Higher. Most popular recommendation I see for first chromatic is the Suzuki SCX48. I don't have one, mainly because I have picked up several bargain priced Hohner models, but I believe the people who recommended the Suzuki