Improving credit to 700 plus

Improving credit to 700 plus
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Would anyone know how quickly could I improve my FICO credit score (currently 669)? I would like to target 750+ if possible. My situation:

I have just been approved for my first credit card with a limit of $6000, and have a pretty solid long term mortgage payment history. I should have my credit card by the end of the month. I intend to use it to no more than 30% of its capacity and pay it off in full each month.

Besides this, is there something else I can do to improve my credit? (there are no other items on my credit report except for two late payments that are 2016/older).

Thank you for any help!