As mentioned, all the large plastic tubs you see in the stores made from polyethylene or polypropylene are 100% fish safe.
The only thing I will add is that polyethylene is a lot tougher than polypropylene, they'll take a bit of abuse without breaking, and are still pretty tough at cold temperatures for those who have them outside.
Polypropylene on the other hand is a bit different. There are two main types of polypropylene, homopolymer and copolymer. Copolymer is pretty tough, it has better impact strength than homopolymer putting it on a similar par as polyethylene but homopolymer is weaker and care needs to be taken that you don't kick them around or drop them from height because they can crack easily. And when the homopolymer ones get cold they can crack very easily.
Most of the cheap mass produced thin wall polypropylene tubs you see stacked high in the shops are homopolymer. Look after them or your floor will get wet!