I haven't got a show home, but it is reasonably clean and tidy. And I used to do lots of messy play with my kids. As long as you confine a messy activity to 1 room at a time its not that difficult to clean up afterwards.
GreenTeapot - I used to live in a 2 bedroom terrace house with no hall. Hard to say without seeing your house, but I have posted some ideas of where you could keep things.
Slow cooker - if it is too large for kitchen cupboards, either on top of the cupboard or on the hob. I have a very large casserole dish that I didn't have space for anywhere except on the hob. Not ideal, but if its the only thing i think its okay.
Food processor - kitchen cupboards. You need to get rid of stuff if it won't fit.
Scales - I have nice ones that I just left out on the worksurface. You can buy ones that don't come with its own bowl and actually take up very little space.
Cookery books - shelf in kitchen - easy to put up if you haven't got one
Shoes and boots - either in shoe rack in cupboard under stairs or shoe rack in the bedrooms. Easy for us as we wear shoes indoors so any change in shoes involves going upstairs, taking off current shoes, putting them on shoe rach and putting on alternative shoes. You have to make more effort to take shoes and take them upstairs if you are a shoes off person.
Jigsaws which are too big to fit in a bookcase - on top of a book case
Laundry baskets (in the 2 hours a year they're not in use) - cupboard understairs. Or if you don't have this replace with a collapsible laundry basket that is more easily stored.
Clothes drying racks - presume you have the kind that folds down. Cupboard understairs or space to put it in between wall and bit of furniture e.g. between wardrobe in bedroom and wall.
Dog food (15kg bag) - buy smaller amounts of dog food. Or keep large container in cupboard under stairs or shed and decant regularly to smaller bags in the kitchen. We didn't have space for a shed in our back yard, but we got 1 of those rectangle outdoor storage bins and it was very useful.
Pushchair - cupboard under stairs or just a designated corner in a room. Not ideal, but if you really don't have storage space then you don't have much choice. But I would have bought 1 that folds up reasonably small and that can be hidden easily e.g. space between sofa and wall.
Don't know if that helps?