Translation Help!

Hi All,
Of course I said I could do this for someone!
Trying some simple Search Engine Optimization for a Japanese website. Really trying not to get lost in translation!!
I want to come up when someone searches for the equivalent of "movers" and "moving company" and then, more specifically combine it with a geography like "nj movers" (short for New Jersey) without it losing its meaning. Not even sure I would type something like "nj moving company" in Japanese so please feel free to correct me if that isn't the right approach.

I tried some Google translates and got this:
movers 引っ越し業者
nj movers NJムーバー
moving 移動する
moving company 引っ越し会社
nj moving company ニュージャージー州の引っ越し会社
moving companies 移動する企業
nj moving companies NJは、企業を動かす

Curious how for "nj moving company" that "NJ" doesn't show up like it does for "nj movers" and "nj moving companies". If someone could properly translate those terms in the proper context that would be awesome.

Learning a little bit about the Japanese language while doing this project. Fascinating!

movers: 引っ越し業者, 引越し業者, 引越業者, 引っ越し会社, 引越し会社, 引越会社
nj movers: ニュージャージー州の/ニュージャージーの + "movers"
moving: 引っ越し, 引越し, 引越
moving company: the same as "movers"
nj moving company: the same as "nj movers"
moving companies: the same as "movers"(There is no plural form for 会社/業者 in Japanese.)
nj moving companies: the same as "nj movers"