This book was so good that I don't think I could write a good enough review. So here are some quotes that I loved from it. Spoilers, most definitely.
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"All these kings would do a deal better if they would put down their swords and listen to their mothers."

" 'You want her? Go get her.' So he did."

" 'Why come back?' A dozen quips came to mind, each crueler than the one before, but Jaime only shrugged. 'I dreamed of you,' he said."

"No one sang the words, but Catelyn knew 'The Rains of Castamere' when she heard it."

"The white tears and the red ones ran together until her face was torn and tattered, the face that Ned had loved."

" 'No.' Tyrion's voice was hoarse. 'Sansa is no longer yours to torment. Understand that, monster.' "

"Oh? Is this something I'm allowed to know, or should I leave so you can discuss it with yourself?"

"The little old woman reached up and fussed at the loose strands, tucking them back into place and straightening Sansa's hair net."

" 'Your husband's been arrested.' 'Tyrion?' she said, shocked. 'Do you have another husband?' "

"In King's Landing, there are two sorts of people. The players and the pieces."

"Lady Olenna was not about to let Joff harm her precious darling granddaughter, but unlike her son she also realized that under all his flowers and finery, Ser Loras is as hot-tempered as Jaime Lannister. Toss Joffrey, Margaery, and Loras in a pot, and you've got the makings for kingslayer stew."

"We don't want to rain pebbles on the whoresons."

" 'They plotted it together,' she said, this girl he'd loved."

"My giant, I had to call him, my giant of Lannister."

"That is where you err, my lord. I have been on trial for being a dwarf my entire life."

" 'The truth is, I wanted to watch you for a time before pledging my sword. To make certain that you were not...' '...my father's daughter?' If she was not her father's daughter, who was she?"

"I never wanted this, he thought as he stood before the blue-eyed king and the red woman."

" 'Thank you, Brother,' Tyrion said. 'For my life.' "

"Now that's where you're wrong, Father. Why, I believe I'm you writ small."

" 'My sweet silly jealous wife,' he said, chuckling. 'I've only loved one woman, I promise you.' "

"Lady Catelyn's eyes never left him. She nodded."