I owe a couple of credit cards. I plan on opening a business. Will they be able to debit my business account as they would my personal checking, or is this considered separate?
When you have a debt, AND there is a judgment for that debt...the debt is associated with your name and Social Security number. A properly organized separate business entity, where its funds are kept in a bank account associated with the EIN number of the business, would mostly be untouchable for personal debt. In order to be able to garnish debt in a business account for a separate business entity the creditor would have to know about that entity, and would have to have permission from the judge to "pierce the corporate veil" to go after those funds.
At the same time however, in order for you to make personal use of the business funds, you would have to either pay yourself a salary, issue yourself a dividend, or make a distribution to yourself (depending on the type of entity) which means one way or another transferring money to your personal accounts, therefore making that money vulnerable to your creditors.
You would NOT be able to use your business account to pay personal bills. So if your idea is to hide your income from your creditors...that won't fly. If your idea is to protect the money needed to run the business from your personal creditors, then that is another story.
There have been many people who have attempted to hide money from creditors, or from the child support agencies, or from alimony by leaving it in company accounts and taking only minimalistic amounts to cover personal needs, while trying to be clever and fund their lifestyle in intricate ways. Sometimes they get away with it for the short term, but in the long term that never works.
So, once again yes, the money needed to cover the daily running of the business would, in most cases, be safe...but not the money that should be your personal income from the business.