The atmosphere is all of the air surrounding us. It has a huge part in the water cycle. The water vapor all around you rises up into the sky to become part of a cloud which will float off with the winds, probably looking for a picnic to rain on.
The hydrosphere is all of the water in the world. Evaporation is the first step, in which the heat from the sun causes any water form and soil to rise into the air and turn to water vapour.
The hydrologic cycle, is a cycle that helps water reach plants, animals, and us. The hydrologic cycle is the pattern of conditions in which water passes from vapor in the atmosphere to precipitation on land or water surfaces and right back into the atmosphere as a result of evaporation and transpiration.