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If the new bin isn't going to be a huge change but just a bit bigger so she can have more toys & a bigger wheel maybe I don't think it would stress her out too much, keeping the substrate will really help & also keeping a similar layout to the way she's getting used to now would help her settle too.
Having a run around the bath should be enough for now at least, you can usually tell when they've had enough & it's better to gradually build up the time, if you could make her a playpen or buy one that might be better for her & once you have more toys you could let her run around in there as much as she likes, you could either get in with her or interact with her from outside. Taking things she's familiar with out of the cage for play time is fine it can help them feel more settled & less stressed.
It can take a while for them to settle on a pee spot & it's not always easy to find but they do seem to like peeing in the sand as well as using it as a sand bath which is really good for them so if you can get some sand you may find she'll start to use it to pee in without you even needing to encourage her.
Definitely cut out the fruit, try to give her a good variety of veg something different each day for a few days before giving the same again, broccoli is usually a big hit & most enjoy cucumber too but you may need to experiment a bit to find what she enjoys most.