Weeds around my fruit bushes

The weeds around my raspberries, blackcurrants, gooseberries and rhubarb have got completely out of hand. Short of a flame thrower has anyone got any ideas? I don't really want to use nasty poisonous chemicals but I'm totally daunted by the amount of back breaking weeding to be done. Help!!

I inherited weed infested fruit bushes, they could never be cleared as weed roots went right through the fruit roots.
Last winter I covered all the ground between and around the bushes with heavy weight ground cover material. I had to cut slits to fit around the bushes but then put off cuts under these slits and held it all inplace with pegs.
So far this appears to be working - just the odd weed poking thru next to the bushes but these were easily pulled out. Looks like the weeds are defeated and I can always lift the ground cover in winter to apply manure.
Worked for me with red and black currants and gooseberries, could work with rhubarb but would not work with raspberries as space must be left for the new shoots.

Bark looks a lot nicer but established perennial weeds will all grow through it.
I've added woodchip on top of the membrane for aesthetic reasons

I had the same problem. I hand weeded what I could, put a really thick mulch down and that stopped the majority.  But there was bindweed right in the roots of the bushes, so I resorted to training it up a stick, so there were a good number of leaves, then painting the leaves with weedkiller.  I hadn't wanted to use any chemical, but it seemed the only option.  My fruit patch is now bindweed free.

put card boasrd around the plants then cover with manure ,worked for me plus plants get a good feed too

I went for the cardboard option, seems to be working so far.

It was suggested to me to plant strawberries or alpine strawberries at the base of my fruit bushes as this would help keep the weeds down.   This is the first year of trying it so will have to see if it works.