I use a Trangia alcohol stove kit. Two pots, windscreen and base, fry pan and burner all nestled in space of your average pan. Weight, well under two pounds depending on the model and material.
The wind screen is essential to keep the heat focused and makes the store very fuel efficient. A quart of inexpensive and easily obtained denatured alcohol gets us through an average week. Fuel burns clean, no messy pots. If there is any blackening just add water to the alcohol.
The base and windscreen keep the burner well off and isolated from the ground so the stove is safe to use in a tent if need be. The base and windscreen keep your pots securely on the stove so there is no chance of accidentally tipping over your pot.
As for twig stoves, many places I go to do not allow fires. You will get a ticket if someone sees or smells your smoke. You need to come up with a better long term plan.