First of all, just know that this is a phase. If you are going in to check on him, and comfort him, it is not a bad thing, especially with the teething and new move..This will pass

controlled crying just doesn't work,lay him in his most liked sleeping posistion grab his nappy and rock him and firmly as you feel comfortable and you find he stops grizzling then that's what he likes(if you get what i mean).their whole body should rock this is the settling tequnique which  a nurse told me.you may have to do it for while eg;rock for 30 minutes to settle him but this will lesson over a week.eventually you will only have to pat his nappy once and he will know it's time for sleep.i had all sorts of trouble with my daughter a month ago tried thisit worked within days

re assure him as much as you can.

there has just been a HUGE change with the house moving as well as teething. I would just continue with going in and reasuring him for a bit. to a child a new house could mean their parents arnt there anymore and the new things as well.

he should settle soon.

they say the most stressful things in life is births, divorse and moving house.