I just bought this cage used, and I LOVE it! If you use the grate, you can easily slide it out for cleaning. The lady I got it from did not use the grate, she put the grate underneath the tray, and that is how I am using it. If you have very small finches, like Goldbreasts, and don't use the grate, you would have to rig up something, as it does leave a gap in the front, or just use the grate. It is in my bird room for now, but if I wanted to use it in the house, it would look just fine. And it has casters, so you can easily move it around or move it to vacuum. I use the seed hoppers that TammyS sells--that will cut down on the mess. I love this cage so much I am probably going to buy the double flight cage.
It comes disassembled, so I'm sure it could be disassembled again if needed, to move or store. I have not purchased from this company, nor from this other company that I will list, that has the same cage for $118, including shipping:
www.hqbirdcages.com
The number of finches in it would depend on the species, sex, etc. I put my 5 Gouldians in it and set them up with nestboxes, just to see what happened. In one day, they already started checking out the nestboxes, so if they want to breed and can get along, fine with me.
It really isn't a huge difference between the cage I had them in, which was 30l x 18d x 36h, versus 32l x 21d x 36h, yet it seems like a lot. The added depth lets you have nests in there if you want, still leaving flight room, OR it comes with two nestbox doors on the sides, so you could use a box-type nestbox and not take up any room inside at all.