Hi Cfixer,
I think my general approach to this is basic's or simple's

I tend to work without over complicating things , for sure if you want there are tons of gadgets or devices to suit your needs to buy. for the bits , as in simple fact that electronic devices and magnets don't mix. I agree it is a lot harder trying to work without magnetic bits but , once i got used to my tweezers i am done. One other thing i can think of is the way the bits are magnetized. Or say the standarts how it is applied. De-magnetizers coming from/mass produced in china will not have propper CE/EU standarts Ofcourse, members here will correct me if i am wrong but , the necessary precautions you take before starting work is enough i believe. So once you properly ground yourself before sitting down to work, i do not think of a reason you should be connected to a ground through out your work.
Just keep the habbit of touching your metal chassis everytime before touching something else, at least thats what i do. I am neither into electronics nor educated enough in this field , but say i follow common knowledge.

I know there are tech's that swear by their electric thumb screwdriver sets like that Mi band one, also on the other side of the spectrum a lot of them are strictly against using magnetized bits. As every component is designed with certain tolerances , my approach on this is to try to minimize the risk as much i can , as simply as i can without the need of additional pretective gear. This on it's own is merely my opinion , so i can understand your way of doing things.
As for the ground in your apartment , your radiators, any copper pipe like your water pipe, any exposed pipe going to your boiler, taps in your sink basically any metal pipe going out of your house to the ground i meant.
And over 20 years i have not fried a single chip/component on units i worked with
