How to copy or move to folder in Nautilus 2.30.1 like in Windows Explorer? The only such options available in the context menu point to Home or Desktop, when I want to copy or move to another folder or drive.
What do you mean by "like in Windows Explorer"? Can you not select Copy / Move from the context menu (right-click menu) and then select Paste at the destination? If you want to add "shortcut" or "favorite" directories you can add them to the left-side pane, just as you had a list "Send to..." in Explorer. Dragging to these folders in the pane will Copy / Move your folder or files.
It sounds like you're pretty new to Linux. It takes a while to understand the principles (well, some distributions take longer to understand). Keep your head up!
After a while you'll see that the command line is pretty neat. You can copy/move files with the following commands.
If you're interested, have a look at http://linuxcommand.org/lc3_learning_the_shell.php.