REST API's Corresponding to Asmx Methods

At the moment we integrate with SharePoint using the Copy.asmx and Lists.asmx Web services but as these are deprecated in Share Point 2013, we want to move to REST endpoints but the big question is what are the REST API's (methods) we can use to replace the following methods we are using, so really appreciate if someone can mention what are the REST API methods to achieve similar functionality via REST.

1. CopyIntoItems
2. GetItem
3. GetListItems
4. UpdateListItems

Thanks