Android in app donations
Similar question has been asked before...
"Via the paypal website you can create a link that is specific to your PayPal ID that will allow people who follow it to donate any amount that they'd like to you. All you'd have to do for this to work on android is put a button in your app that when clicked creates an Intent containing this link and start it. That will open up the browser to the correct page that the user can use to make a donation." - Tim's comment on PayPal Donations on Android Apps
You can use my new library under Apache License 2.0: https://github.com/dschuermann/android-donations-lib
It simplifies the integration of Donations via Google Play Store, PayPal, and Flattr.
I think the best way to do it is using Android's built in in app purchasing system: http://developer.android.com/guide/market/billing/billing_overview.html