Here is our general recommendation on the tire width range that works best with a given internal rim width.
This is an estimation of rim width tyre size chart to help identify what rims you should look at, however tire brands will have their own recommendations which should be adhered to. This information can be found on the sidewall of your tires.
Generally speaking, if your tire is narrow compared to the rim, you risk pinch flatting and damage to the wide rim. If your tire is too wide compared to the rim, you risk burping/excess tire roll, and poor stability.