I wanted to be able to keep the lid on my pot, but didn't want to notch the lid. I also fill a cooler with ice and water and use a pond pump to circulate the water through the immersion chiller. Here is the outside of my brew kettle:
The white tubing is the out line. I just run the water into the ground until it comes out cool, then I move the tubing into the cooler and let the outlet water run into ice water. I occasionally remove the to lid to quickly stir and take temp readings with a sanitized thermometer.
Here is a view of the inside:
I have used this for about a 10 batches, and it has worked very well, and chilled my wort pretty fast.