I started swimming three times a week when baby was 1-1/2 months old during my maternity leave. I am in good health so far. I brough babies to swim when they were 4 months (4 yrs ago) and 8 months (2 weeks ago) old. They both love swimming. They don't scare of water, even though mouthful of pool water goes to their mouth/nose occassionally.
Of course, I will direct feed my baby only after a shower.