lebhaft
lively
Describes a person or animal that is very active, energetic, and full of life. It is often used for children or young animals.
Die Kinder spielten lebhaft im Garten.
The children played lively in the garden.

lively / vivid
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lively
Describes a person or animal that is very active, energetic, and full of life. It is often used for children or young animals.
Die Kinder spielten lebhaft im Garten.
The children played lively in the garden.

The word is made up of 'Leben' (life) and the suffix '-haft'. '-haft' means '-like' or 'full of'. So 'lebhaft' (lively/vivid) literally describes something that is 'full of life'.
Ihr lebhafter Charakter macht sie bei allen beliebt.
Her lively character makes her popular with everyone.
'Lebhaft' (lively/vivid) can stand as an adjective before a noun or describe a verb as an adverb. As an adverb, it describes how an action is carried out.
Er ist ein sehr lebhafter Mensch.
He is a very lively person.
When referring to people or animals, 'lebhaft' (lively) is often combined with children, dogs, or also with verbs like 'erzählen' (to tell) and 'diskutieren' (to discuss).
Unsere neuen Nachbarn haben zwei sehr lebhafte Kinder.
Our new neighbors have two very lively children.
In this meaning, 'lebhaft' (vivid) often describes abstract things. Typical combinations are 'lebhafte Farben' (vivid colors), 'eine lebhafte Fantasie' (a vivid imagination), or 'eine lebhafte Erinnerung' (a vivid memory).
Das Gemälde beeindruckt durch seine lebhaften Farben.
The painting impresses with its vivid colors.
When referring to places or situations, 'lebhaft' (lively) is often found in combinations like 'eine lebhafte Diskussion' (a lively discussion), 'ein lebhaftes Gespräch' (a lively conversation), or 'eine lebhafte Straße' (a lively street).
In der Altstadt gibt es viele lebhafte Gassen mit kleinen Geschäften.
In the old town, there are many lively alleys with small shops.
clear
'klar' and 'lebhaft' can both refer to something that you have clearly before your eyes or in your mind. With a memory, 'klar' can mean that you understand it well or know it without doubt. With memories or ideas, 'lebhaft' means that they seem very clear, strong, and almost real. The words can be confused because 'lebhaft' in this context also means 'clear and distinct'. Even so, 'lebhaft' adds more feeling, color, or movement. For an unambiguous explanation, 'klar' fits better; for a strong, vivid memory, 'lebhaft' sounds more natural.

Sie erinnert sich noch lebhaft an den ersten Schultag.
She still vividly remembers her first day of school.
Nach dem Gespräch war mir klar, was ich als Nächstes tun muss.
After the conversation, it was clear to me what I had to do next.