Formal:
* Ours en peluche câlin: This literally translates to "cuddly plush bear" and is the most accurate option.
* Ours en peluche doux: This means "soft plush bear."
Informal:
* Ours tout doux: This translates to "very soft bear" and is more casual.
* Ours câlin: This is a simple way to say "cuddly bear."
* Ours qui fait des câlins: This translates to "bear who cuddles."
You can also use noun + adjective combinations to describe a cuddly bear in French, such as:
* Ours adorable (adorable bear)
* Ours mignon (cute bear)
* Ours affectueux (affectionate bear)
The best option for you will depend on the specific context and your desired level of formality.