For me, on a bodyweight squat, I feel the weight of my body only in my foot, with it centered over my mid foot. It feels heavy and good. If I leave a steamlined center of gravity I lose that. Other than that I feel my hips spread (my upper legs rotating out to make room for my hips), its a good feeling.
That's mostly what I feel, now I have done sets of high rep bodyweight squats. In that case I feel like my quads are going to burst from the blood pump.
A video would help but for me I can always feel a good squat in my feet. If I don't feel the weight spread equally thru the balls of my feet thru my heels while keeping my big toe planted the entire squat is wrong.
Something that helps a lot of my people who struggle with squatting:
1. Extend your hips (there are a ton of exercises, the simplest is just to stand up and extend one hip until the glute contracts)
2. Loop your foot through a kettlebell or dumbell and lift it up off the ground (a weight that you can hold up for about 10 seconds). You'll feel the hip flexors in the front of your hips "going nuts."
When you squat, use the HFs and actively pull yourself down into the squat.
There are a lot of other things, but this is a simple and easy place to start - opening the hip flexors through hip extension and then strengthening them with a toe pull exercise.