I don't think it's too young.
My 6 yo dsd has been helping empty the dishwasher for over a year, and all of them including my almost-4 yo dss know that they need to throw away their napkins and put their plates and forks in the dishwasher. The littlest sometimes needs help, but that's about it. We don't bother with beds because with so many kids, they inevitably end up playing on them and they wouldn't stay nicely made anyway (and I'd rather have them goofing around in their bedrooms than playing on screens), and honestly dh and I don't make our bed most days
, so I'm not sure what age that becomes reasonably easy. I think it's worth a try though.