Collocations for mug - noun

large | empty | chipped, cracked | hot, steaming
a hot mug of tea

beer, coffee | pint | commemorative, souvenir | shaving | china, plastic, etc.

fill, pour (out)
She filled her mug with orange juice. | He poured a mug of tea.

pour (sb) out
Craig got up and poured himself a mug of soup.

pour sth into
She poured hot water into the mug.

drink (sth from)
He drank a mug of coffee and left. | We drank champagne from tin mugs.

a mug of beer/coffee/tea, the rim of a mug
He ran his finger around the rim of the mug.