couch cleaning = ink run

[joko]

Hi
my couch is green, burgundy and gold with a fair bit of off-white.

trouble is obviously the white bits get grubby, but when the covers are washed, the colours bleed a bit, making the white bits look greyish

any ideas of how i can wash these covers without ruining them?
they are pretty grubby now, as i am too scared to risk just binging them in the washing machine without thought, so i don't know if dry cleaning would work

many thanks