Thank you for all your helpful replies!

I did not mean that I have no idea but as you may understand I have no experience neither good or bad.
I surely have some ideas and some of them are also unique as you recommended

But how could I do it with the payments?
That would be a great help!
Is there a website which offers a good and simple API for small Bitcoin payments (like 10k satoshi etc)?
Thanks again!
Yes, there is a site called faucethub.io that is widely used by faucet owners to process micro payments. They have an API for faucet owners to use that works well. In addition, they have a basic faucet script for you to use to start off.
Self advertisement, but I also have a faucet script for sale if you are looking for one.
Good luck with your faucet!