Ice-Cream YAYYYY!!!!

I love ice cream.
And I would like to try to make it in my own. 
After a great sucks day.
It's time to enlighten me up with something nice. 

The video is giving quite a good guide. 
Despite of the strong Korea Slank's english. 

BUT

What's on earth the HALF AND HALF IS?
Half cream and Half milk?

Where should I go and find out this kind of so special product here?

Can I mix them in my own?

If not, will I ended up with....
Cream with Ice?
o.O