No thumb-sucking with safe alternative methods

I am a new mom, but I have always babysat since I was 15. I've gained experience over the years with all age groups. I currently use teething toys, frozen popsicle tubes, and teething foods to keep my 9-month-old boy from sucking on his thumbs and fingers. Whenever I see him sticking fingers or thumbs in his mouth, I replace it with a toy or lightly frozen popsicle tube instead. I rarely see him using his fingers or thumb anymore to suck on. He is just getting teeth in and all on his own abandoned the pacifier, and my alternative methods are working so far.