Tigerlily, thanks for that. That spray seems especially good because it's odourless. I'll put that on my shopping list.
Gill, thanks for that input - I had no idea that the shampoo wouldn't be enough and that I have to take it to the next level with some real medicine.
DottyBB, many thanks for naming some of the manufacturers whose medicince is of a standard which will get the job done.
Souffle, I'll keep the thought of calling out pest control in mind but let's hope I can get it done before that stage.
Once again folks, thank you all for your ridiculously speedy replies! And due to your input I phoned the local vet just now and thank god, they have Frontline Spot On! Brilliant.
So I'll have Frontline Spot On, already have some anti-flea shampoo, the only thing I'm missing now, I think, is something to treat the furnishing with, and that is something quite major really, what's the point of giving them a shower and applying the spot on without anything for the house itself. Hmm. The hunt for supplies continues. I'll be popping over to the vets in the next hour, maybe they'll have something.
Please do mention if there's anything else I need to put on my flea destruction shopping list.
Thank you all for your helpful responses!