When you look at all topics in your Japanese "Home" tab and choose this topic you will have two buttons: START and a light bulb. Click on the light bulb and it will show you how verbs should look like in the ないで form.
From what I know, やる is more for physical actions while する is more broad. Also, using this term infers that you are looking down upon someone, so using する is nicer and more versatile. Hopefully someone can confirm my understanding~