No person shall operate a bicycle:
(a) Without due regard for the safety and rights of pedestrians and drivers and occupants of all other vehicles, and so as to endanger the life, limb or property of any person while in the lawful use of the streets or sidewalks or any other public or private property;
(b) Without exercising reasonable and ordinary control over such bicycle;
(c) In a weaving or zigzag course, unless such irregular course is necessary for safe operation or in compliance with law;
(d) Without both hands upon the handle grips, except when necessary to give the required hand and arm signals;
(e) At a speed greater than is reasonable and prudent under the conditions then existing.