First, I find it hard to fathom that you would have a good credit score with that much credit card debt. That being said, a good score might not be enough. Typically you need to be able to commit about 1/3 of your net income for rent. With $29K in credit card debt, you could be paying close to $800 a month just in minimum payments. A lot depends on your income.
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http://bible.cc/1_corinthians/13-11.htm