I would always put it on a plate and eat at the dining table

I actually fold the paper and put the whole lot on a plate. 

Plate but if I get something and it's in one of those foamy containers then I put that on top of a plate too.

 

I do what Cinds does if at home 

 

 nothing beats F+C outta the paper while at the Seaside - they taste so much nicer IMHO 

Back in Lancashire ca. the 70's and 80's, one took one's bowl to the chip 'oil, and has fish and chips with soup. A very green approach. At the seaside it's all polystyrene nowadays. NB. For my younger readers, soup is the water off the top of the peas.

Now I want fish n chips 

I always use a plate but sometimes I do the same as you.

Can't remember my last fish supper - must be years ago.

 

Al fresco though, in the bag, preferably waterfront.

 

Sprouty  

 

Eat it from the paper mostly, but sometimes I decant onto a plate.

 Ditto