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It will not hurt you in the least. The only balance that matters as far as reporting purposes, is the balance on the day the billing starts - that is your 'carried' balance and its what gets reported. You can max it out and pay it back down 20 times during the cycle and it won't affect scoring. In fact, this is the preferred usage that the credit card companies like to see. Charging it up and paying it off immediately gets them lots of vendor fees, with no risk at all. You carrying a balance gets them interest, but at a risk of you defaulting.
Using the card a lot actually tends to encourage CLI's - as long as the carried balance is low.