I know you only have so much to work with, but living with cats I know they will be interested in the noise at first, too. Two things if you can -
if the brooder will fit under any table you have, so the top is protected, try to do that;
Nope...it is 3 ft tall. Last February, when I had my first chicks ever, one of them was perching on the edge of the brooder box at 1 week old. The brooder was 2 ft tall. So this time I made it taller
and try to move chicks while the cats are eating, if you have a feeding time, or do something else that distracts them. They will have to go sniff of course, and that's fine, but ours like to jump/lie on top of everything, and that's when there can be a problem. Alternatively, you might be able to satisfy their need to lie on top of the brooder by placing a cat tree, if you have one, near the brooder, so they can satisfy their curiosity that way.
I'm planning on making a removable top for it that is sturdy enough to hold the weight of the 2 kittens, since I can't keep them away from it while I'm sleeping.
Here, if I brood chicks in the house, they are in the room where I keep the incubators and hatcher, with a door that closes, where cats are not allowed. This is the first year I've ever brooded in the house, I don't especially like it, but when I decided to hatch through winter I knew it was probably going to happen. I started to take them down to the crawl space, where I brooded last February and March, and DH wouldn't hear of it.
Works for me, way easier on my back!
Brooder won't fit in any of the rooms in my house that has a door. I don't have a basement either