Bichons rarely have that dog smell.

I have an extra throw across the foot of the bed, 2 of them like to sleep down there. I also have 2 donut beds on my bed, those are always full, dog or cat, just depends.

When I change the bed, I spray Lysol on the mattress, or mattress pad (depends how much I am changing) and let it air for an hour before putting it all back together again. I also spray both sides of the pillows.

What laundry detergent do you use? I switched from Tide to one from Whole Foods market, and that has made a difference too. (Plus 2 of my bichons had the itches which were directly related to the Tide.)