Because this character isn't bipedal as the walk behavior was optimized for, you may run into weirdness.
The Neck tag is the primary driver of head movement. So you can try tagging different areas and/or moving a neck-tagged handle to see if that helps your character. You may also want to adjust the hip and waist handle positions - I've found those three non-limb handles seem to have the biggest effect on body movement. And are the eyes and mouth independent? If so try toggling that off.
Ok... so I didn't have body section independent. But the rest was. I turned it off and now whole body is moving quite "normal", but the head is still at the same position.
Here is a link for video: walk.mov - Google Drive
Even when I added neck, hip and waist, this head just didn't move a bit.
I really do not know what should I do, kind of lost in this
Hey, whatever works! Glad you found a solution. That's the way with CH - there's pretty much always a way to do what you want, you just might have to hunt for it.
OK. I took a look and re-rigged it the way I personally would.
The Walk behavior was applied directly to the body. This means the Walk behavior will only look for handles found in that puppet, or its subgroups. This is why moving the head into the body worked. It probably doesn't matter, but I deleted the Walk behavior from the body and added it to the main puppet. I also tagged the head handle with the neck tag and deleted your neck tag. I'm not sure that made any difference, but I found it worked well for another puppet.
Like you already found out, having the body warp independent disconnects the face from the body, so I unchecked the crown for the body.
Finally, I was finding a single point getting stuck behind as I was walking. I deleted the Left Eye group and the problem went away. When I looked into the Left Eye group, I saw that the pupil for the Left Eye wasn't Warp Independent like it was for the right eye. This meant that the pupil being controlled from the mouse and/or camera was controlling the entire puppet. I made that pupil Warp Independent and that fixed the problem. I also deleted a stray "Left Eyeball" handle on the Left Eye. I don't think it was doing anything negative, but it also wasn't doing anything positive.
Here's the file:
This looks amazing now. He is really funny with his jelly belly walking
Thank you very much guys, hope it will work for another two puppets I'm working on. They had the same structure of the body so I will apply this to all of them.
Your character isn't walking, so please create a new thread. This way when we help you, others that search for a similar problem can benefit from the support.