Oh just seen your last post!
Is your bedroom upstairs? Some greys can't or won't climb them- mine won't. I wouldn't worry about the homecheck, the guys really are very nice. They just wanted to know if we'd thought about stuff- actually thinking about it, it was us asking most of the questions. We were quite worried about the cats and how to integrate them with the dog. If you just ask advice they will help you with practical issues. My idea is- What about two beds, one bed in a big open playpen that you can close when he is asleep?
One thing- remember that greys can sleep with their eyes open. Once when we first got our dog I reached over her to get something from a shelf- thinking she was awake- and I woke her and she got up and was snarling and barking and growling. Their deep chests mean they can belt out a growl or a bark. The sound was horrendous and to be honest quite scary. Being well socialised with other dogs their default can be to be vocal in warning instead of aggressive (like lots of unsocialised dogs). It was just a warning and she would never have hurt us. I think a lot of other people- especially with kids- would've taken her back to the rescue at this point. However, we realised that she just wasn't used to being disturbed when asleep, she was also in a new environment and didn't feel very secure. Now my dog trusts us completely and is used to our ways and this doesn't happen.
So, greys are very very quiet and very gentle but when they ARE vocal, they are REALLY loud and it can sound aggressive- just don't think he can't bark because he's like a mouse most of the time! And don't worry about it- Just take it as a warning that he's uncomfortable/scared and be glad that he's got a means of telling you.
You can probably prevent the eyes open but asleep problem by being aware- ie calling his name to see if he's awake before touching, getting close etc. Last of all please don't make this put you off. It probably won't happen- It would've been less scary for us if we'd been warned how loud they can be!!!
Sorry so long. Eeeek!