You can absolutely brood chicks in a plastic tote. My first ever run raising chicks, I did 20 barred rock's in the large grey Wal Mart Rubbermade tote. 250w heat lamp, too.
If you clamp it to the tote...well, the clamps barely work on actual solid surfaces...so best of luck there.
In addition, it's FAR TOO CLOSE to the floor.
I originally hung mine from a shelf above one end of the brooder. This let the chicks escape to the other end to cool off, and get back when they were chilled. Temp sweep from one end to the other with the BULB (not the housing) 24" over the bedding was 68°F to 98°F. My house averages around 65°F in the winter/late spring. I mean, it's May, and it's around 65°F now.
Later, I moved the 2wk old chicks out to my 8x8 insulated metal coop (still sub freezing fairly regularly at night). I screwed mounts into the walls that would allow me to hang TWO lamps, in a single corner...to create an area of heat radiating outwards to the other three corners. They LOVED it. Stayed warm and safe in their corner, but...like they do with mother hen...could run and play in the cold, and feathered out very quickly.
You can see that here, this was the first night:
They were in the run all day (free choice) in temps as low as 40°F by 4wks...with the coop setup as a brooder with the heat lamps in the corner.
I'm currently raising three goslings. I used the old tote for the first 7 days (at which point they outgrew it lol), and built a simple wood stand to be used with a lamp and C-clamp. The lamp can be raised up to 4' off the brooder floor.
You can see that setup here:
(ignore the subject of the video, you can see the brooder at 0:48s)
And here:
(brooder portion starts at 0:23s)
After the first 7 days, I built a 4x4 brooder box from plywood. I then simply stuck the entire stand IN the box. It gives them a nice warm corner they mostly avoid unless they're drying off lol.
You can see that here:
Brooder's are pretty simple things (assuming you have enough heat) if you either A: have enough room for them to escape whatever heat you apply, or B: are willing to monitor their heat based on their behavior, and adjust it as necessary for their health and comfort.
Also remember, chicks generate heat themselves, and LOVE TO CROWD UP. If you have too much heat in the brooder, they'll cook themselves to death in the coolest corner by dogpiling on it.
Oh, and on a final note...if you have something hot enough you won't touch it with a bare hand, you probably shouldn't ever let it have a chance to touch something living, or flammable, or both. Tie it to a ceiling hook if you have to (make sure THAT is in a stud thanks)....but don't hang it off a piece of plastic.