In Australian (and UK) English, the edge of the road is referred to as the 'kerb'. In US English, it is known as the 'curb'. We can accept these differences; they happen often. But in an Australian context, that means the correct expression is 'kick it to the kerb'.
Kerb picture from Shutterstock
'Curb' exists in Australian English, principally as a verb meaning 'to restrain'. It is also a noun referring to the restraint strap used on a horse's mouth. US English uses the same spelling for both noun and verb forms (think Curb Your Enthusiasm).
I'm not going to mount a big argument about which approach is "better"; language is full of arbitrary rules. Writing well means learning those rules. Accuracy matters.
Lifehacker's Mind Your Language column offers bossy advice on improving your writing.