While you can call people using their home or mobile phone numbers by using Skype, that's going to cost you money. In order to use the free calling, messaging, and video chat features of Skype, you're going to need to find and add contacts: other people you know who use Skype.
Open your Skype desktop program and log in. Underneath your status in the top-left corner, click where it says "Search".
Type in the name of the person you're looking to find on Skype, or type in their user name on Skype (if you know it). If they aren't already in your contacts list, you can click Search Skype to see if a person by that (user) name exists on Skype.
If you find anyone by that name on Skype, they will appear in the left-hand menu, under the search box. Click on their name, and then click Add to Contacts in the main screen. You can then click in the box that says "Send [person] a Contact Request" and type in a personal message to them, and then click Send.
If the person accepts your contact request, they will show up in your contacts menu on the left-hand side.
If you don't talk with someone over Skype so much anymore, you can remove them from your contacts list. Note that this won't remove you from their contacts list, so they can still contact you.
Find the person that you want to remove in your contacts list and click on them to select them. Then, click the Contacts menu at the very top of the screen, and click Remove from Contacts.
A window will pop up asking if you really want to delete that person as a contact. Click Remove if you are sure that this is what you want to do.
Don't worry if you change your mind later or deleted the wrong person by mistake; you can find and add that person again by using the method above. Also, if that person still has you as a contact, you won't need to wait for their permission to add them to your contacts again!
Sometimes, even if you remove someone from your contacts list on Skype, they will still try to communicate with you and won't leave you alone. That's when it might be a good idea to block the person, which prevents them from contacting you in any way.
Also, you may occasionally have people randomly add you as a contact on Skype. They may be attempting to promote or sell something, or otherwise take you to a website where you may not want to go. If you don't know who the person is, feel free to ask them. If it turns out that you don't know them, or something else seems fishy about them, it would probably be a good idea to block them.
Click on the person's name in the contacts menu on the left-hand side to select them. Then, click the Conversation menu at the very top of the screen, and click Block.
You can also right-click on a person in your contacts list or "Messenger" window and then left-click Block This Person.
A window will appear asking if you really want to block this person; you can also click the check boxes highlighted here to hide this person in your contacts list, and/or report them for abuse (if they're threatening you, trying to blackmail you, bullying you, stalking you, etc.), respectively. Then click Block.
If you ever want to unblock someone (because perhaps you blocked them by accident or you have a change of heart), click on the Contacts menu at the very top of the screen, move your mouse over Advanced, and then click Manage Blocked Contacts.
Now, in the window that says "Blocked People", click the email address or the Skype Name of the person that you want to unblock, and click Unblock this Person. Repeat for as many people as you want to unblock, and then click Save at the bottom.
Now you know the basics of using Skype contacts: how to find them, add them, remove them, block them, and unblock them!
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