Which word order is correct?
His favorite programme starts AT around this time?
or
His favorite programme starts around AT this time?

And what if I want to replace "around" with "approximately?"

Question

Which word order is correct?
His favorite programme starts  AT around this time?
or
His favorite programme starts  around  AT this time?

And what if I want to replace "around" with "approximately?"

Answer

The first one is correct. 'Around' modifies 'this time', making it more vague. It is therefore part of the time and follows the preposition.

Answer

His favorito TV show starts at...