anyone know about re-turfing a lawn?

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thanks to my dog i am going to have to re turf my rear garden. the patch that needs doing is small, about 12ft x 20 ft. first i thought about grass seed bit it would probably look pants.
how much would it cost to re turf this size lawn? and what when is it best to do it?
thanks

 

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i am no gardener so no idea what i am doing. i would need a hard wearing lawn as i have a baby who will be crawling come the summer.any idea how much a company would charge to supply and lay?