Explanations

YOU’RE NOT THAT QUICK= In informal English we often use THAT instead of SO in negative sentences (never in positive sentences).
- Why are you laughing? It’s not that funny = it’s not so funny.

GO GET MY SHOES= Go to get my shoes. In informal English, when we have “go + verb” we often say GO AND instead. More informally, especially in America, they just say GO + the verb:
- Go to see who’s at the door = Go and see who’s at the door = Go see who’s at the door.

QUICK LIKE FIRE= Very quick. (A common expression)

HOW ‘BOUT GETTING MY JERSEY...= Why don’t you get my sweater...
“Jersey” is a very old fashioned word in England (we prefer: sweater, jumper, pullover).
When making suggestions we can use many different forms. Some of the most common ones are:
- Let’s watch some TV
- Why don’t we watch some TV?
- How about watching some TV?  (-ing)
- What about watching some TV?  (-ing)
The first two expressions always involve both the speaker and the listener in the activity. The last two expressions may be use for both or just be addressed to the listener.

FASTER THAN THE SPEED OF LIGHT= Very fast. (A common expression)

MY BROTHA= My brother. Black Americans don’t usually pronounce the R if it’s not followed by a consonant (same as British people), so “brother” sounds “brotha”. They use “brother” to call each other. Now this use has extended outside the black community and many white people use it too.

ON THE SHAKE= (colloquial) a little moment.

LOOK AT YA!= In informal English, both BrA and AmE, we can use YA instead of YOU.