You can attach a PC keyboard and mouse to an Android device, using Bluetooth or USB , and Android supports them surprisingly well.
IME that displays nothing on the screen
When you're using a physical keyboard, you don't need the soft keyboard to pop up and take valuable screen real-estate. You switch to one of these IMEs while using your hardware keyboard, and switch back when you want to use the soft keyboard again.
Once you have the new IME installed, here's how to select it.
PC keyboard equivalents to Android hard keys
|Menu ||Context Menu key
|Search ||hold Context Menu key
||Windows key + <letter>
|Volume ||multimedia keys
The above lists only things specific to PC keyboards. Androids with a sliding keyboard already support a large number of native shortcuts, see there for more. (even if your phone doesn't have a sliding keyboard, Android OS still supports those key shortcuts)
- Alt+Tab — switch between recently-run apps
- Ctrl+Alt+Del — forcible ungraceful reboot
PC mouse equivalents to Android keys
|screen tap ||Left click
|Back ||Right click
Left side button
|Home ||Middle click
apps that support PC keyboard keys
Most apps aren't designed to handle Ctrl/Alt/Esc/Fn keys. But there are a few that have improved support for them:
Note: The above shortcuts may differ by Android version. My phone is Android v4.1.1, Samsung GS3. Other lists I've seen   didn't work very well on my phone.