Will opening new credit cards hurt my credit score?

Contrary to what most people think, the answer is no! At worst you'll get a temporary dip due to pulling your credit report, but within 2-3 months afterwards, you'll see your credit score actually increase, as you'll have increased your total credit available, as well as the total number of accounts.

There is a lot more to read on this subject from some fantastic online resources which explain this in more detail; I've linked to a few of my favorites in the Learn More section on the preceding page.