Lottery is fine. I had H1s and then E3 visas for a while until I won the DV lottery. OP, as a NZ citizen, has a relatively high chance of winning (approx 1 in 2

Lottery is fine. I had H1s and then E3 visas for a while until I won the DV lottery. OP, as a NZ citizen, has a relatively high chance of winning (approx 1 in 20 last time I looked).