Well, your credit score can change slightly depending on total percentage of debt to credit. Keeping credit cards below 50% of the total limit is healthy for your credit report, so the question is, what is the limit where the $1800 currently resides. If the limit on that card is not $3600 or more, swapping some or all of the balance over to the new card might help (if it does not exceed 50% of that cards limit).
Not to mention save some bucks in finance charges. Saving the money is worth more if you arent looking to extend credit again right away. Your credit score will bounce up and down all the time, and is only most important when you are needing more credit, so save some money first and foremost, your score will work itself out even more then because you will be paying back debt faster and less chances of any late payments.
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