You may be able to get a new credit card after you have filed for bankruptcy, although the offers available to you after your discharge will likely be different than those you received before. You may find that you are seeing higher interest rates and fees, and more limited lines of credit.
If you are worried that you will be turned down for a regular credit card, you may want to apply for a secured credit card. Secured credit cards require you to put up a set amount of money to the company, and this amount serves as your credit limit on the account. If you make payments on time, you will start to reestablish your credit report.