I introduce myself and then ignore them and then i pick 2 villagers in the town (not the one you want out) and i spam talk them every 2 days until they mention rumors, if the 1st one doesn't mention someone moving, talk to the next one. If the villager you want out is the one that is thinking of moving, speak to them so you're on speaking terms then go inside somewhere and then back out and keep running by them until they ping to say they want out. if it's not the one that you want out, stop them and repeat the process. I get the villagers i want out easiest this way because i had villagers i wanted to stay and didn't want to risk the foolproof method.