I know that the word Bitte can have many different meanings. When translating Bitteschön into English word for word however, it makes no sense at all.
My question thus is where does this expression come from? Why 'Please nice/ Please beautiful'?
Bitteschön is just the logical counterpart of Dankeschön which has derived as short form from Ich danke dir/euch schön, and that means I thank you very much. Schön is an adverb here in the sense of very.
Schön is a typical form of politeness. Examples: Er sollte Sie schön darum bitten / Ich danke Ihnen schön / Ein Dankeschön sagen, or antiqued: Habt (schönen) Dank!.