Let the starter rest for no more than 24 hours. I usually rest it for about 12-18 hours before feeding it again.
If you want to bake bread, you can start that process as soon as it peaks. You'll need to watch the starter carefully to make sure you don't miss the peak.
If you don't want to bake bread soon, you can store the jar in the fridge after it peaks. If you store the starter in the fridge, you can keep it there for up to a few months. Or you can keep it in the fridge for a few days until it's time to bake again.
Remove the starter from the fridge the morning before you want to bake bread. Then, feed it immediately. This will give the starter plenty of time to rise before you want to bake.
When you remove the starter after a long period of time, you may need to remove the liquid that forms on top. This is called hooch and isn't bad for you, but it will cause your starter to be extra sour. If you are fine with the sourness, you can mix the hooch in before you start the feeding cycle.