This is tough because it may be difficult to get approved for a desirable card with a high credit limit. To start with, do you know any of your FICO 08 credit scores? FICO 08 is what is normally used for credit card applications.
You can check your Experian FICO 08 score for free here:
https://www.creditscorecard.com/
Please post your score back so that we have an idea of what's the path for you to take.