animieren zu
to encourage to
To encourage, motivate, or prompt someone to do something specific.
Die gute Musik animierte die Gäste zum Tanzen.
The good music encouraged the guests to dance.

to encourage / animate
Loading your saved state.
to encourage to
To encourage, motivate, or prompt someone to do something specific.
Die gute Musik animierte die Gäste zum Tanzen.
The good music encouraged the guests to dance.

Like many verbs ending in '-ieren', 'animieren' (to encourage / animate) comes from another language and is conjugated regularly. The past participle is formed without 'ge-': animiert.
Er hat die Zeichnungen für den Kurzfilm selbst animiert.
He animated the drawings for the short film himself.
You can tell which meaning is intended from the object and context. If you 'animiert' a person 'zu' something, it means 'to encourage'. If you animate a figure or an image, it is about animation techniques. If you entertain guests, it is about holiday entertainment.
Die Werbung soll die Leute zum Kaufen animieren.
The advertisement is meant to encourage people to buy.
In the meaning 'ermutigen' (to encourage), 'animieren' is almost always used with the preposition 'zu' and the dative. You encourage someone to do an activity or adopt a behavior.
Der Trainer animierte die Mannschaft zu mehr Einsatz.
The coach encouraged the team to show more commitment.
The meaning of entertaining guests is typical in the area of tourism and leisure. A person who does this professionally is called an 'Animateur' or 'Animateurin' (entertainer/activity leader).
Im Clubhotel werden die Urlauber den ganzen Tag animiert, bei Spielen mitzumachen.
At the club hotel, holidaymakers are encouraged all day long to join in games.
to move
'bewegen' and 'animieren' can both mean that someone comes to do something because of words, reasons, or a situation. 'Jemanden zu etwas bewegen' sounds stronger: a person changes their mind or makes a decision after being influenced from outside. 'animieren' usually sounds friendlier and lighter. It works well when you encourage, motivate, or prompt someone to join in. The words can be confused because both trigger an action. As a simple guide: 'bewegen' fits persuasion or an important decision, while 'animieren' fits motivation and participation.

Die Trainerin animiert die Kinder, beim Spiel alle mitzumachen.
The trainer encourages the children to all join in the game.
Das lange Gespräch bewegte ihn dazu, sich endlich zu entschuldigen.
The long conversation moved him to finally apologize.