This is the 6672nd most frequent Russian word.
nestle
The Russian word "nestle" does not exist; it is an English word meaning "to settle or lie comfortably within or against something."
The verb 'гнездится' is used to describe the bird building or occupying its nest.
Птица гнездится в удобной ветке дерева.
The bird nests on a comfortable tree branch.
'Удобно устроился' is used to describe the kitten finding a snug and comfortable position.
Маленький котенок удобно устроился в коробке.
The little kitten nestled comfortably in the box.
Here, 'уютно устроилась' reflects the concept of settling in a cozy or snug manner.