The Three Elven Rings

[popo]

Enjoy reading all the experts insights on this site, hopefully some can help my simpleton understanding as it relates to this topic.

In the Second Age the Elves remove their rings when they learn of Sauron's treachory. Problem solved right - they thus avoid being bound to Sauron, and instead go to war with him, and defeat him.
By the Third Age we have multiple accounts of the "ring bearers" wearing their rings and using them to defend Lothlorien, Rivendell, and inspire those around them. Basically combating the one.
1) At what point do the ring bearers start to wear the rings again? After Sauron is defeated? After Isildur loses the one?
2) Isn't it awfully dangerous to go on wearing the rings once they know that the One is discovered. Especially when they know it is about to be precariously marched into Mordor? At that point shouldn't they remove the rings to avoid the potential of the loss of the One, and themselves being bound to him?