Stalling issues

Looking for some advice about my 2007 Honda Fit.

For a while now it’s been stalling if I start driving right after I start the car. If I don’t let it idle for a minute first, it gets really shaky and sometimes stalls out. But if I let it idle for a bit before driving, it usually runs fine.

This has been happening for a while, not something that just started recently. Has anyone with a Fit (or similar car) dealt with this before? Any idea what might cause it or what I should check first?