Hover Charm
Incantation: Levioso (lev-ee-O-so)
Wand Movement: Inward spiral then upward flick
Willpower: Moderate; determines how heavy of an object can be lifted.
Concentration: None

Another useful charm is the Rocket Charm.
Rocket Charm
Incantation: Alarte Ascendare (A-lar-tay a-SEN-day-ray)
Wand Movement: Quick swish
Willpower: High; determines how high the object will ascend before falling
Concentration: None

Another quirky flying charm is the Floating Charm.
Floating Charm
Incantation: Fluito (floo-EE-toe)
Wand Movement: Jab then upward flick
Willpower: High to very high depending on weight and distance of target
Concentration: Moderate; should be maintained on target object

A very common charm is Wingardium Leviosa.
Incantation: Wingardium Leviosa (win-GAR-dee-um levi-O-sa)
Wand Movement: Swish and flick
Willpower: Low; Visualize your energy coming from your body and lifting the object.
Concentration: Moderate; on the thing you want to levitate