The smug boy Lancel comes to fetch Tyrion because Cersei is cross with him again, on account of all the stuff he did when she was stuck on the toilet. She wants him to release Pycelle and arrest Jacelyn for defying her about releasing Pycelle.
Lancel acts all tough until Tyrion threatens to tell Joff that he's screwing his mother. At which point he starts bricking it, which he should do because we all know how Joff treats people who even slightly annoy him...
So now Lancel is working for Tyrion, at least until everyone finds out what is going on and Lancel ends up dead. He goes off to tell Cersei that Tyrion is going to free Pycelle but protect Ser Jacelyn.
After all that Tyrion can't sleep so he goes to visit Shae. It's a wonder he has any energy left after all the effort he has to go to to get to her house. Tyrion is far too in love with his prostitute girlfriend. This can not end well.