mollig
chubby
Describes a person in a friendly way as slightly overweight or rounded. The term has a softer and more positive connotation than 'dick' (fat).
Sie hat eine sympathische, mollige Figur.
She has a likable, chubby figure.

chubby / cozy
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chubby
Describes a person in a friendly way as slightly overweight or rounded. The term has a softer and more positive connotation than 'dick' (fat).
Sie hat eine sympathische, mollige Figur.
She has a likable, chubby figure.

You can recognize the meaning of 'mollig' (chubby/cozy and warm) from the context. If it refers to a person, it means 'rundlich' (rounded/chubby). If it refers to a room, a bed, or clothing, it means 'angenehm warm' (pleasantly warm).
Die Katze ist ein bisschen mollig geworden.
The cat has become a bit chubby.
When 'mollig' (chubby) describes a person, it is a friendly and gentle euphemism. It has a clearly more positive and softer connotation than the direct word 'dick' (fat).
Das Baby hat süße, mollige Bäckchen.
The baby has sweet, chubby cheeks.
In the meaning 'warm', 'mollig' (cozy) is very often used together with 'warm' as an intensifier: 'mollig warm' (cozy and warm). This combination emphasizes especially pleasant and comfortable warmth.
Nach dem Bad war sie in eine Decke eingewickelt und hatte es mollig warm.
After the bath, she was wrapped in a blanket and felt cozy and warm.
A typical construction is 'es sich (mollig) warm machen' (to make oneself cozy and warm). This describes the act of creating a cozy and warm atmosphere for oneself.
An kalten Winterabenden mache ich es mir zu Hause gerne mollig.
On cold winter evenings, I like to make myself cozy at home.
cold
'kalt' and 'mollig' are opposites in the area of temperature. 'Kalt' means that something has a low temperature or is not served warm. 'Mollig' describes a pleasant, comfortable warmth, for example in a room, in bed, or in warm clothing. Important: 'mollig' can also describe a person in a friendly way as plump, but in this contrast it is only about warmth. For simple temperature, you say 'warm'; 'mollig' emphasizes that the warmth is especially cozy.

Nach dem Spaziergang ist es im Wohnzimmer mollig warm.
After the walk, the living room is cozy and warm.
Der Gast hat kalten Tee bekommen und bittet um eine neue Tasse.
The guest received cold tea and asks for a new cup.