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I am not sure exactly how the wording is on income reporting, but they do usually as during the verification of employment process the expected future income, If HR department knows they will retire soon then it is quite possible it will end up reported. As long as they are retiring with some sort of pension and/or income they would probably be OK even then if the file is strong.
One thing I am confused on is the new purchase. I do not believe they can do a "cash out" purchase ont he new home and pay off the old one. They may be able to buy the home, then go for a equity line down the road, but I do nto think you can transfer the debt from one property to another. Maybe if the seller is willing to agree o "pay" the old mortgage balance and inflate the house price (and the house appriased high enough) but even that would be a tough sell. That said, there may be some loan types or local banks that do this type of loan. I have just not heard of them.