Weather is the condition of the atmosphere at a specific time and place, including temperature, humidity, wind, and precipitation. Climate is the average weather conditions in a region over a long period of time. Basically, weather is the day-to-day while climate is the year-to-year.
High pressure systems bring clear skies and calm weather while low pressure systems bring clouds, wind, and precipitation. High pressure systems are usually higher than surrounding areas, while low pressure systems are lower.
A front is when air masses meet. A cold front is a front where the cold air masses wins and pushes the warm front back from below. A warm front is a front where the warm air masses win and pushes the cold front back from above.
The Sun causes uneven heating between the poles because the poles receive indirect sunlight while the equator receives direct sunlight. This drives atmospheric and hydrospheric circulation. It also causes evaporation, part of the water cycle, and it provides the warm air for the convection currents in the hydrosphere and atmosphere.
Warm ocean waters and warm air masses work together to form hurricanes by bringing low pressure systems, and because of the Sun doing it's uneven heating and changing the air pressure.