My preference is to have a slide where you kneck from a sweep or alley to the chute. Then I want a decent alley that holds a minimum of 5 head. Then another slide. Then a sorting gate. Straight goes to a trap or a trailer, right goes to a sorting pen, left goes to the squeeze chute. Between the sort gate and the squeeze I enough room to hold 1 animal. The squeeze chute pointing in to another holding pen with a gate out in line. Just tie the sort gate open to the left when working cattle through the squeeze.
Basically I want to stack 5-10 head in a chute. Then open the slide so they go through the sort for Then to go to the squeeze. As soon as they cross that 2nd slide it gets closed. If they balk at the squeeze there is no where to back up. They have to stand there and look at the hole on the other side. When they know they can't back up and see the hole forward, a light tap or bump with the hs usually convinces them.
Moving them through those gates like that really helps keep them pretty calm and the knowing there is no going backwards prevents a lot of issues.
I prefer a cow in the system when I load the chute from behind. It helps them move forward when there is a cow up front vs just empty.