In reply to veteye:
The down jackets are unlikely to be infested - the flea eggs will have come in with the furniture and fleas cannot breed without taking a blood meal - usually from a dog or cat.
Once hatched the flea larvae feed on skin flakes near where the egg was laid and won't bother you at that stage.
When they reach adulthood the fleas are more mobile but usually just in response to stimuli they associate with a live mammal - warmth, humidity, vibration - they won't be attracted to a down jacket unless it has only just been taken off.
Do you have a dog or cat? The immediate temptation is to exclude pets from the area but often the best way to get rid of the fleas is to treat the pets with a prescription flea product that kills fleas on contact and then actively encourage the pets to use the affected area - the fleas are desparate to jump onto a host and will be killed.
Otherwise the freeze thaw cycles for the jacket should work, but simple fumigation of the room won't be a final solution - it won't kill fleas in their dormant 'cocoon' phase
Post edited at 22:38