I think plastikoted wood works best
Or cardboard! I don't think changing the house needs to be stressful and not nearly as stressful as a cage clean.
The trick really is to try and put the new house where the old one was if possible - and then make it tempting to move into! If it's big inside or has rooms, and is dark and has a tunnel entrance they will just move in.
Actually peeing in a corner of the house is normal and if the house is big enough they do move their pee spot into their house (ensuite bathroom). The germans go as far as having houses with rooms - one to fit a litter tray.
What you need is a house large enough to fit a litter tray inside! I found that out with our first syrian and it has worked ever since. They tend to choose the corner furthest away from the door to nest (where it's darker) and the corner nearest the door at the back, for a toilet. Then they can pee, bathe and snack from the hoard under the nest, before coming out for the night!
Rodipet do make very good houses, but they're not cheap and there are alternatives. However a house with a lift-off roof- like theirs, is very good - because you can just lift the litter tray out and empty it and replace it.
I have the big syrian sized labyrinth house for our syrian - had it for our last syrian and they always nest in the compartment on the left and use the middle back compartment for a toilet - which is where I put the litter tray.
The two and three room houses are good too. Or you just make a shoebox house - cut the base out and a hole in the long side for a door, use the lid as a lift off roof and put a bendy bridge tunnel over the door. Makes an angle so it's dark inside, a tunnel entrance which they like, and also a ramp up to the flat roof).
If you do get a rodipet house it isn't necessary to get their ceramic potty - the plastic ones on Amazon fit as well. I'll link them.
Those houses can also be heavy as well - and if they try and tunnel underneath or dig down they can sink or squash them. I find there are two ways to sort this. Either you put the house on little legs and have it higher up so they can tunnel underneath or dig down if they want. Or have it as a subterranean house. On the bottom of the cage base with substrate inside the rooms to make it more comfortable, and substrate piled up round the outside and channel out a bit near the door enrance.
https://www.rodipet.de/shop/haeuser/...erracotta.html
https://www.rodipet.de/shop/haeuser/rodipet-granit/
https://www.amazon.co.uk/Hamster-cor...=hamster+potty
I have also used this Ferplast Sin Rabbit house before. A bit smaller than the labyrinth house and no rooms but much taller so it works well sat on the base of the cage with substrate inside it and round the outside - that does need a bendy bridge over the door as the door is very big. Potty fits in easily
It's far too small for rabbits! Also has a lift off roof. The Rodipet ones are better though and designed for hamsters but for the larger ones you need a 100cm cage. The smaller granite 2 and 3 room ones are fine in an 80cm cage.
https://www.amazon.co.uk/Ferplast-46...n+rabbit+house
This is the plastikote - I just paint the inside of the houses - it means they're wipe clean and the potty helps keep pee off them too. A small pot like that would do two coats inside a house easily. I tend to leave them overnight between coats to make sure the first coat is fully dry but it's dry in a couple of hours and easy to paint on with a small 1" type paint brush.
It comes in various colours too so you can paint the whole house whatever colour you want!
https://www.amazon.co.uk/gp/product/...?ie=UTF8&psc=1