Swiming w/your butt out.

I think some coaches tell new swimmers to tuck their chin, because often, if you feel like you're doing something "too much", it's actually just the right amount, if that makes sense.

A different way to think about it would be to make sure you are engaging your core (which will lift your hips) and pressing your chest down (which will attain the "swimming downhill" result). Not saying that this is THE right way to think about it, but it's one of many explanations I've heard. The thing about visualization in technique is that everyone thinks about movements a little differently. So one image might make sense to one person, where it won't work for another. But it can't hurt to try various things and see what happens. The most important thing is to have an outside eye to watch you and help you tweak your technique.

I usually look straight down to slightly ahead and I agree, if I am focused, it's much better.  Just be careful to not lift your head too far out of the water.

I try to visualize that my whole body is the underside of a boat.  I hold my legs up on purpose, using core strength.  Once I started doing that, I realized that my legs were falling because I let them!  Your hips play a role here.   So, I keep my head from dropping, push down at my lungs slightly, and keep my core strong so my legs don't drop.    You are in control from tip to tail.

Not to disrupt, but the thread title made me laugh. I think I would get kicked out of the pool for that.