girl - you don't get to choose whether you're eb1 etc.
there's rules for all of it.
Can't remember whether it's the J or L visa, but one of them is for employees who'll return within 2 years, so if you end up on that one, you can't apply for green cards until you change visa status to begin with (and on one of them you're not even meant to buy a house, but hardly anyone knows that, certainly not realtors)
H visas are restrictive for the spouse, BUT easier to apply for green card on. also, the employee (your dh) can move jobs on that visa - there's paperwork to do, but it's possible.
there are some other possibilities as well. there's the green card lottery if you're not british by birth (dh was born in belfast, so able to apply), or you can import some money & invest it - it's not a ridiculous amount, I was quoted $50,000 by one lawyer, though I'm not sure if she was right.
One thing you do want, is an ITIN (Tax Identification Number). You get one anyway when you file your first lot of taxes, but they look the same as Social Security Numbers. Without a SSN you can do nothing - not even get a driving license. Your dh will need to get a SSN as soon as you land, but I'd advise getting a ITIN asap. So many forms insist that it's filled in (just for store cards & things that don't really need them) that without it you're really stuck.
Blimey, I know far too much about all this - it isn't even interesting.
Now who'd like to discuss the US tax system?