Here the words "springs" and "streams of water" are likely euphemisms for male reproductive fluids. Possible meanings are: sleeping with women other than one's wife is spoken of as if it were allowing one's water to flow in the public streets or having children with women other than one's wife is spoken of as if it were allowing one's water to flow in the public streets.
"Should you disperse your springs ... everywhere? Should your ... squares?". Public squares are open areas in a city or town where two or more streets meet, where people meet each other and talk.