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No need to worry about poo on the wheel, they nearly all do that! Poo is dry & perfectly ok to leave until you do partial cage cleans, it's only really pee that needs to be cleaned frequently, it's important that she can get her scent on everything so she'll really settle & feel at home now which is the reason for cleaning as little as possible.
Those houses are cute but not really suitable for sleeping in, they need somewhere a bit bigger than that ideally & it needs to be dark inside, if you think it may be big enough for now (depending on how big she is really) you could put a bendy bridge over the door to make it darker or just use a cardboard box with a hole cut out for a door & no base. Give her a really big pile of shredded plain white toilet tissue to make a nest too.

ETA Just saw the photos of Phi in your other post, hadn't realised she was a Chinesey, sleeping in silly places like under the wheel is quite typical for them tbh! The little house may be big enough for her for now at least but they do like to burrow down & be somewhere dark so the bendy bridge & tissue may encourage her to use it.