Extol

v.joyful, thoughtfulformal

What it means

To praise someone or something with strong and explicit admiration.

Reach for it when giving elevated, wholehearted praise to a quality or achievement

The review chose to extol the cast's warmth as well as its precision.

playful
sing the praises of
when enthusiastic approval can use a familiar image
not when The idiom is chatty and may sound excessive in a balanced assessment.
everyday
praise
when any clear expression of approval is intended
not when Praise ranges from mild to strong and lacks extol's elevated enthusiasm.
warm
celebrate
when praise includes shared joy or recognition
not when Celebration can honor an occasion without evaluating particular merit.
professional
commend
when a specific action deserves measured official approval
not when Commendation is restrained and narrower than wholehearted extolling.
formal
acclaim
when public and widespread approval is being voiced
not when Acclaim often comes from a crowd or critics, not one considered tribute.
formal
eulogize
when formal praise commemorates a life or legacy
not when Eulogize strongly suggests death and is wrong for routine living achievement.
literary
laud
when concise elevated praise fits the register
not when Laud is as formal and uncommon as extol, so it does not improve accessibility.

extol the virtues
Supporters extol the virtues of the plan without hiding its cost.
extol someone's work
The curator chose to extol someone's work by naming its influence precisely.
publicly extol
The mayor will publicly extol the rescuers at the council meeting.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.