...outgassing of plastic into your food starts out high and diminishes over time. ....
...the variable outgassing over time is well studied...Some of it turns into stuff that goes into your food, especially when the plastic is fresh, but most of that has outgassed within 2 years....years-old plastic yogurt containers for reuse, those should have very very low levels of outgassing.
So much talk of "outgassing" dangers... folks do realize that as a GAS most or all of the worrying compounds would go to the air, not the food. Not to say none would go into food, but it's not a 1:1 ratio outgas to food, and the rate of outgassing is very very low anyway. Also, the amount of gas will also relate to temperature and a container in a refrigerator or freezer will have little to no outgassing... maybe just don't microwave your food in a plastic container if you're worried?
Furthermore, for post-pubescent adults the potential health risks are very very low for many of the compounds, like BPA. Potential risks are more significant for children, so parents with an abundance of caution for their kids may justify removing all plastic containers. However, for the rest of us, and maybe cautious parents too, I think there are well-documented bigger risks around us that are better to focus on, but often ignored because they are common risks normalized by society (e.g. the flu, parents who share their bed with an infant/SIDS, lead or asbestos in older homes, keeping up with vaccinations, poor diet, lack of exercise, alcohol consumption, smoking, cholesterol, sanitary food prep, safe/undistracted driving, etc. etc.) I don't mean to make "whataboutism" argument here, my point is more that reducing risk in our lives can have time, effort, and monetary costs, that may be better spent reducing the well-known risks than uncertain risks.