I have terrible credit card debt?

It's about 35,000. I'm current on the payments and am selling my home to get something less expensive. If I blow off the creditors and say I can't afford it, what will happen?
If I buy another home with my good credit rating, what can the creditors do?
Update: falsi: not with 70% down on the new home.
Update 2: malica: new mortgage? If I get a 3.7% 30yr, I don't think I'll be getting a new mortgage.
Update 3: falsi: BS, any bank will offer a mortgage with 40% down, nevermind 70%. You don't know what you're talking about, sorry.
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