I recently started collecting bitcoins by claiming it from faucet sites. Today I found a good one which offers many different timed sites and is also optimized for mobile devices... I think that could be a good starting point.
The site was http://freebitcoinclaims.eu
As far as I know all claims are withdrawn...
I also discovered sites earlier where you do not get a payout, that was embarassing.

How can I gamble with bitcoins?