If you share your home with multiple kitties and woofies, establish a timeshare. For example, the woofies can have the grey bed at night, but it belongs to the kitties during the day.
If the kitties feel compelled to spray the bed with their personal odor, the woofies must understand that this is covered by the security deposit.
If the woofies do anything similar, the timeshare will terminate then and there and the kitties will claim the dogs’ security deposit of bones and kibble and other sundries and will probably pursue them for damages not to exceed first access to the couch and/or bay window forever and ever and ever.
Them’s the rules, pups.