Personally I'd dig them out but I guess it depends on how much effort you want/can put in... round up would be a last resort for me especially if you plan on growing veggies etc.
 
Can yer pull nettles out one by one or is there one of thems long roots that go straight down the middle which makes them grow again?

As a temp solution eye may just pull them so eye can fill the garden bin with as much as eye can as soon as eye can ter make the best use of them coming ter empty it. Then eye can fight them when eye have more time.
 

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