When i taught Arctic Survival at the local university, the most exciting part was teaching new students to snare rabbit and catch squirrels.
We tried making boxes for rabbits but with zero success. We were always strapped for time with overnighters, so we taught the students how rabbit runs are interwoven. Once they began to understand the animal and how a rabbit moves around its habitat, they began more strategically placing 25G steel wire snares and actually caught rabbits.
I know the dog and cat thing is important, so location is also critical. But my rule of thumb with catchin rabbit is to set a dozen snares for one rabbit...that would be a lot of box traps if you really want the kids to be successfull quickly.