Precomps and bounding box size

Thank you for your help with this. I'm new to AE and trying to learn some simple animations, like text bubbles appearing on screen. In the picture below, I have a Text Layer (God), and white Text box formed with a shape layer, and an image layer (drawing of God — no offense to anyone of religious persuasion, Ty). I'm trying to make these 3 layers behave as one so I made a precomp. I'd like that precomp to follow a very short curve, the way arriving text does on our phones. To do that, I created a path line as a shape layer and pasted the position data into the precomps position data. It works but it's a bit clunky. My issues is that the size of the 'bounding box'  for the precomp is way larger than the images as they appear on screen. That makes it hard to set the precomp to follow the path. I tried moving the anchor point in the precomp far closer to the images, but it'd be better to have a smaller bounding box to do this with. Can I change the bounding box size. In the image below, the bounding box for my text is purple. See how big it is. I know there are videos online for how to create this animation, but I'm trying to get it on my own as a way to learn. Any insights to the bounding box issue (or better ways to do this - 'parenting?') are very welcome. Thank you!