edit: I should state "inner ring", not "inner race" as race is the internal pathway for the bearings. I used the term interchangeably, but the most correct term is "ring" as in "inner ring" or "outer ring". It would be difficult/impossible to use a race to press a bearing and the race surface is extremely precise so it should not be touched.
There isn't much of a choice when pressing onto a shaft for an interference fit.
example here:
The use of a PVC press tool isn't advised because it can possibly shatter and cause shrapnel. Honcho, I, and others do it regardless because Cheap + Available > Risk.
Freezing the shaft can be helpful too.