No person shall have or keep, in the city, any billiard, pocket billiard or pool table, to play upon where any charge of any kind, whether by way of dues or otherwise, is made, without first obtaining a license therefor. Where the billiard, pocket billiard or pool table is not had or kept for profit, the license fee set forth in § 801.13(P) shall not apply, and the license shall be issued without payment of the license fee.