I still have the teddy bears from when I was younger. They remind me of all the fond memories I used to have when I was a child. Also, if I'm feeling sad or angry, simply hugging one of my bears relieves me of those emotions.
Stuffed animals can be helpful stress relievers. If you've just had an argument with your partner, or you've run into financial difficulty, you sometimes need that special comforting hug that'll make you feel better. Granted, a simple hug won't make all of your problems go away, but it'll certainly give you the strength and confidence you need to take them on.
You know, it surprises me to see many people classify stuffed animals as "kiddy-toys." Just because you like to give your special bear a squeeze every once in a while doesn't make you any less of an adult than anyone else. The people who discriminate against others by arguing that "Stuffed animals are childish and adults shouldn't own them" are the same people who resent other types of people due to race, gender or religion.
So if you still have your old teddy bear, don't throw it away, and definitely don't give it away. And if you don't have a bear, considering buying one. Because whether you need a companion, or just someone to listen to your thoughts, your bear will be always be there for you.