Turn off iMessage on computer but not on iPhone I've recently bought a new Mac.  

iMessage is on it. 
I'd rather not have it on my computer.  I want my texts to be kept private. 
How do I keep it on my iPhone and remove it from the Mac?
In the Messages application on your Mac, go to 


Messages > Preferences > Accounts
select your iMessage account
uncheck the "Enable this account" checkbox that is below your Apple ID.