My husband was offered a pre-approved credit card over the phone and they said they would mail him the details, etc. However, we received a rejection letter instead stating that we had too much outstanding debt. This was several months ago.

Now, we are taking the steps to control our debt and we want to consolidate our credit cards/transfer balances, etc. and we still get many offers for credit cards with low-introductory rates/low-fixed aprs after 6 months or so. What are the chances that we could be rejected again when we try to do this?