That's a lot of pets! Although 5 cats I guess isn't much different to 2 cats in terms of maintenance - they can look after and clean each other pretty much!
As someone with 3 cats, my main issue is that I only have 2 hands so I can't fuss them all at once XD But we worked out a system, they each have their spot whenever I sit down, lying on my chest, my lap, and a chin on my waist/arm.
When it comes to 5 cats and 2 dogs... phew! I'd be drowning in fur with such a system heh
Anyway glad he's coping fine - not all dogs do!