You seem to misunderstand me. I'm not talking about missions at all, neither ones you assign or ones assigned by bot managers. I'm referring only to the roles such as housekeeper, techie, shopkeeper, bedroom toy, etc --things that they do without leaving the shop and are entirely routine.
@ Darth_Meow_504 - Some suggestions, if you're running into de-stab issues.
Maybe try reducing the quality of the parts on your bots, especially if they are trained up all the way? Most of the de-stabilization that occurs to bots in the game happens as a result of gaining large blocks of XP - and a lot of the roles can cause some large experience spikes, especially if the bot is decked out in A/S grade parts. Remember, parts primarily affect the XP gain multiplier, and higher tier parts typically adjust this upwards. I've seen my super-home bots get 2k+ XP just repairing bots (master techie), or sometimes from the bedroom toy role too. If they're working jobs that can stack on the same time slot (e.g., shopkeep/clerk and master techie), they can gain XP twice; and this can quickly push a bot out of stable range. If the first gain de-stabs, the second role may fizzle.
Getting the actual XP numbers down is the best way to reduce de-stab. If you need to keep a Centric XT on to try and get S autonomy (do note, the Centric XT is an all-around 2.5X XP multi), you can swap other parts down some if it helps. Arms and eyes are usually good boosters for techies; ears for social; powercores, arms/legs for combat; and powercores / privates for sex. Once a bot has S autonomy, I think you can swap the CPU down, since it shouldn't lose that parameter once achieved. If you need to, parts below C tier often help drop the XP multi below 1.0, if that helps. I don't think bots at home, not out on missions or training, are at risk of damage from everyday tasks.
If you need housekeepers for extra AP, try and keep the roles on bots that don't de-stab as quickly. Spreading out the tasks tends to help me some (e.g., diff bots for housekeep / shopkeep / techies, etc.). You only need 5 stable housekeepers (and maybe 1-2 contingency in case) to get the 5 extra AP.
Another idea that usually helps me - try and make your at-home bots all the same model, to boost the player XP gain on that bot type. If you run 5 different types of home bots, that's 5 different pools the player's familizarization XP goes into. Having that all go into the same pot, makes manual re-stab much more efficient, especially if the fam for your key bots gets up to D or higher. High computer skill helps here too.
Another idea for the bin here - one thing I've resorted to doing in vanilla SR24, for at-home task bots using the good parts, is to use a small army of (D) AGRX-10 bots. They're low tier, and cheap; but are incredibly stable. Value not as critical if you don't intend to sell them. Small code spoiler here (can check in the base game mods folder, in the bot data files), but at least as of 0.8.0, the AGRX-10 has the lowest de-stabilizing multiplier of any bot, at 0.5. The higher this number is, the faster they de-stabilize as they gain XP. Other candidates for consideration include the (C) Techie v2 and (S) ER-m2 Sigrid, which have a de-stabilizing multi of 0.8; and I just checked, the new (S) Brutus III has a de-stab multi of 0.65. Be mindful of other bots, as many have higher values (much as I love the (A) ER-m3 Camilla, it's among the highest at 1.2).
With mods, you probably have other options, some of which may be better in this regard. As an example, I think Daedalron's base bot package has some that are comparable or better (I think at least one has a 0.40?), and are higher tier to boot.
Unfortunately, from what I can see, the chassis de-stab multi looks to be a fixed thing per bot type, and can't be adjusted dynamically in game with parts, etc.
There's the capsule upgrades too; but at least by vanilla figures, they're expensive upgrades. I usually get at least Lv2 per pod; but might not go higher until I'm raking more cash.
Hope this helps some.