I looked into that a while ago, mainly on Wikipedia. I found some other sites then as well, also videos on Youtube. You can spend days or weeks to read and watch stuff about that, especially if you start to be interested in others, like for cars and solar cells...
Here the rechargeable types, with comparisons: https://en.m.wikipedia.org/wiki/Rechargeable_battery
My takeaway is using LTOs (Lithium-Titaniumoxide) for bots where you won't able to replace the batteries at all or only with a lot of effort. These are the ones you can recharge the most often before the become trash.
They're a bit heavier for the same energy density. But, they also are safer than Litium-Ion bc more stable and less sensitive to destruction.
Sometimes they invent new ones, so there might be something better now. Batteries out of plastics will be interesting, if the can be recharged often. We might be able to make bones out of such material at some point.
For bots where you can replace the batteries easily cheap ones which need to be replaced more often might be better. Nickel-Cadmium even, not sure. I don't like Li-Ion bc they can start to burn much easier on their own.
Ultracaps or Supercaps, which are not batteries, for extra power from higher voltage or low variable voltage with fast recharging. Could be interesting for motors which run on 24V/48V, 24V/12V or 12V/6V for example.
Waifu might only need the motor with 48V sometimes for getting up or lifting, other stuff might need 20V max. Computer which needs 12V might turn off at some point, the other one which needs 6V could still operate for chat an tell master that waifu needs to be plugged in.