Recently Facebook introduced its very own in-browser video-calling service in conjunction with Skype. The service hasn't rolled out to all users yet, however; the current status of the rollout on states: "Video calling will be available soon. Please check back later."
Get started: is a lot like Google video chat. Before your first video chat, you'll need to download and install some software, but all of your chatting will be in-browser.
To video call one of your friends, choose the person from your Facebook chat list on the right side of the browser, and open a chat window by clicking on the person's name. In the upper-right corner of the chat window, a small video camera icon will appear; click this icon to initiate a video call.
You can also start video calls by visiting your friend's Facebook page and clicking the Call icon that appears in the top right. Only one person needs to have a webcam for friends to use Facebook video chat.