I hope you have a really low APR on your credit card to even consider such a thing. My car loan is well under 5% but credit cards with a rate that low for more than just an introductory period are not easy to find. You could use a 0% balance transfer offer but those are temporary. It could work with a 0% transfer and a low enough balance to pay it off before the 0% period ends.

Also, rent and electricity have impact on your score.

The best thing to do would be to use your current credit card. Use it on things that you buy every month, not frivolous things, and pay it off every month. One of the best things for your credit is time. Have too many brand new accounts is bad while having a couple of long term accounts is a huge help.