When To Post To Twitter and Facebook for Maximum Engagement
Those of us in commercial real estate who are active on Twitter have observed that the #CRE community disappears after normal business hours. Argyle Social put together this infographic on the timing of social media posts.

I would suggest Hootsuite for anyone looking for a free way to schedule their tweets. I have found it very helpful and the free version will work for most people.
I use HootSuite myself and highly recommend it.