You may also want to consider the long term cost of fuel. 1 gal of white gas is about ~$4.50. One 250 grams of fuel in a canister costs ~$4.50.
Overall fuel costs are a minor part of a backpacker's budget, especially if you are only going out a few times a year, and just on overnighters. If doing long trips (like the PCT), fuel weight (including container) is a bigger issue, along with resupply options.
My fuel of choice is alcohol. When I bought a gallon last year it cost close to $15/gallon, well up from previous years.
For someone just getting into backpacking, especially with a couple of kids, I think the simplicity of a canister stove is a big plus. But a couple of things to watch out for regarding canister stoves:
- simpler, lighter stoves perch on top of the canister. With pot, to combination is tall and top heavy. Thus you need to be careful that it is on a sturdy surface, and that no one bumps into it while in use.
- simpler stoves do not have good wind shielding. Presence of wind can significantly increase the water boiling time
- canister stoves do not perform as well in cool weather. That's because the fuel does not evaporate as readily. The canister cools during use, as fuel evaporates.
Pot supports, wind screens, heat exchangers can as important as the details of the stove itself.
Regarding long term storage of unused fuel (say to next year or later) - canisters are nicer. I've had white gas cans leak and smell. On the other hand, I still have canisters that I bought 5 or more years ago.