There are a few things you should do with a new credit card, even if it's not your first credit card. For one, you'll have to activate it before you can use it. You should also read over the pricing list so you're aware of the interest rate and fees, especially the amount and timing of any promotional rates you have.
Before you use any card - new or old - you should plan your purchase, set a spending limit, and know how you're going to pay back your charges. Read More: 10 Things to Do With a New Credit Card.