<human>: Can you provide a brief overview of the text?

Hello PF. 

Im wondering when is the best time to apply for a credit card. I recently bought a car for 34 thousand with 0 percent interest. They had to check a few banks but i was approved mostly on my strong income and credit score. Im at a 720 when i checked a few days ago. My question is should i wait a few months for my car payment to take affect on my score? The question i ask is because ive only had 2 in my life and they were 4 and 5 years ago with very low limits. 300 and 500 and thats the reason i cancelled them (yes a mistake). Now i want something with a higher limit for flights which i take 3 times a month but am reimbursed for it through my company. Its more of a convenience thing then a need. Will i be declined for taking a car loan and then asking for a credit card a few weeks later? My goals are to increase my credit score and my history at the same time because it is limited to two old credit cards and student loan that is nearly paid off.
<bot>: is it wise to apply for a credit card weeks after being approved for a car loan with limited history or wait a few months to establish some more history.