Looks like fun. I'm not trying to sound harsh but there are some serious problems with your cage setup though. The first thing you'll want to do is remove the ramp that in there. That is extremely dangerous and I can't tell you how many chins have been killed and maimed by getting their feet tangled up in those.
The second thing is to put the water bottle on the outside of the cage and mount it so the spigot goes through the bars. Your chinchilla will likely dislodge it. If it's a plastic bottle (I'm assuming it's glass) it will get destroyed overnight.
The next thing you want to do is remove the plastic tray. The tray may be okay for a ferret but chinchillas will eat anything plastic and this can cause bowel obstructions pretty easily. Having plastic items in the cage is very bad.
You'll want to remove the wheel for the same reason and replace it with a metal one. They are more expensive but it's worth it to take the time to save up for one. These plastic wheels don't last very long, the bearings are terrible and noisy and don't hold up to chinchillas, and if hard plastic is fractured off and ingested it can cause internal lacerations.
You should make some wooden shelves and install those as soon as possible. Having a wood house is good but that's going to get destroyed very quickly without some decent shelving. I can refer you to some information on how you can build shelves with some simple hand tools.
I happen to have the two level Ferret nation cage. I know that the floor tray is plastic as well. I don't think you want to make the modifications that I did to mine unless you're good with tools and fabricating things (I'll be glad to give you some design ideas). I do recommend getting a metal tray that you can find for the FN cage made for chinchillas. These are easy to find online and are commonly used with chinchillas in this style of cage. I know of incidents where chinchillas have chewed through that bottom tray and escaped from their cages. It is something that you'll want to fix right away.
You probably don't want to hear any of this but it is what is it is. Chinchillas are very active and will explore every inch of the cage to find things to chew on and jump off of. Please consider each point carefully. And again, congrats on your new pet. With some adjustment you can make a very nice home from the FN cage.