It's just a small piece of tape, as big as half a fingernail. It's placed on my lips right in the middle, and it works more by reminding my brain to keep my mouth closed and less by actually mechanically holding my mouth shut. If my nose is stuffed, I can just open a slight gap between my lips to breathe through. Otherwise, though, when my mouth is that close I will automatically close my lips and breathe through my nose through the night, which anecdotally improves my sleep quality and reduces morning breath.
Chin straps don't work with me. My face shape is kinda flat, and my temporomandibular joint is kinda messed up and doesn't hold my teeth together naturally. The chin straps I've tried all pull my chin down towards the airway.
A mouth guard plus chin strap may work but yeah there's that front teeth holding up the whole chin pressure.
I guess a chin strap would work aswell.