
heiter
cheerful
Describes a person who is cheerful, in a good mood, and carefree.
Trotz des schlechten Wetters war ihre Stimmung heiter und ausgelassen.
Despite the bad weather, her mood was cheerful and exuberant.
cheerful / clear
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cheerful
Describes a person who is cheerful, in a good mood, and carefree.
Trotz des schlechten Wetters war ihre Stimmung heiter und ausgelassen.
Despite the bad weather, her mood was cheerful and exuberant.

clear
Describes the weather when it is sunny, clear, and without many clouds.
Der Wetterbericht sagt für morgen heiter bis wolkig voraus.
The weather forecast predicts clear to cloudy skies for tomorrow.

serene
Describes an atmosphere or situation that is calm, carefree, and peaceful.
Die heitere Gelassenheit des alten Mannes war bewundernswert.
The old man's serene calmness was admirable.
The meaning of 'heiter' (cheerful/clear/serene) depends strongly on the noun it describes. If you are talking about a person, it means 'fröhlich' (cheerful). In connection with the weather, it means 'sonnig und klar' (sunny and clear). If it describes a situation, it means 'gelassen und unbeschwert' (calm and carefree).
Mein Großvater ist ein sehr heiterer Mensch.
My grandfather is a very cheerful person.
When a person is being described, 'heiter' (cheerful) is often combined with nouns that describe character or mood. Typical phrases are 'ein heiteres Gemüt haben' (to have a cheerful disposition) or 'von heiterer Natur sein' (to be cheerful by nature).
Sie ist für ihr heiteres Gemüt bekannt und lacht sehr viel.
She is known for her cheerful disposition and laughs a lot.
When 'heiter' (cheerful) describes a person, it often sounds somewhat elevated or literary. It describes a quiet, inner cheerfulness and serenity.
Der heitere Ausdruck auf seinem Gesicht beruhigte alle Anwesenden.
The cheerful expression on his face reassured everyone present.
In weather forecasts, the phrase 'heiter bis wolkig' (clear to cloudy) is a very common fixed expression. It describes a day when sun and clouds alternate.
Die Vorhersage für das Wochenende ist heiter bis wolkig bei 20 Grad.
The forecast for the weekend is clear to cloudy at 20 degrees.
funny
„Lustig“ and „heiter“ can both describe a pleasant situation. However, „lustig“ emphasizes that something is entertaining or makes people laugh; „heiter“ describes a relaxed, carefree, and peaceful atmosphere. The key question is therefore whether the meaning is comedy or a calm mood.

Der Abend war heiter und verlief in einer ruhigen, gelösten Stimmung.
The evening was cheerful and passed in a calm, relaxed atmosphere.
Der Abend war lustig, weil Paul viele witzige Geschichten erzählte.
The evening was funny because Paul told lots of amusing stories.