yeah, the harbor fright puller will work-- i had to buy one the other week for... reasons... and make sure you have the right size socket for the nut too, it's a big mamma jamma.
from the outside in: dust seal, then circlip, then the inner seal. it'll be fairly obvious which one is which.
btw, from my highly calibrated eyeball, i think a piece of 1-1/4" pvc or conduit will work to press back in.