Job interview advice

So I have an interview coming up for a job I want in another state. There is no way in hell I'd be able to move there without getting some relocation assistance, mainly because the buyout on my apartment lease(Expensive Seattle rent). It would be a decent amount of money and its not something I could put on a credit card, would have to pay cash.

Every job I have ever gotten in another state, they have given me relocation assistance of some sort, but I understand each company is different. The company I am interviewing for is a decent sized corporation that you all have heard of and probably been patrons of so its not like they are too small and don't have the money.

I understand I am just a candidate at this point but my goal is to hold off on the fact I need assistance until after I get offered a job, whether it be this one or another. That way I can impress them, get them to want me, and then they would have to throw in the assistance to get me. I would use it as leverage. I feel like if I let them know off the bat I would need assistance they would use that as a reason to no longer be interested. I intend to not bring it up but what I am worried about is if they ask me if I would need relocation assistance. Should I lie and say no, be honest and say yes, or try to find a way to be vague about it? Hopefully the question would not come up but in the phone screening interview I had the other day the first thing they asked me is if I would be able to relocate(not financially, but just in general).

For those of you wondering why I am just not waiting until the end of my lease. The company I am with now is restructuring and my role is being eliminated. They said I will probably be reassigned in the company, but instead of them putting me in a job I don't want or in fact being laid off, I am instead trying being proactive. Besides I want the frick out of Seattle anyway.