I backpack with a Primus isobutane-cannister stove with the piezo push-button ignitor. Stove head rides inside my water-boiling pot/tea kettle, screws onto the cannister, crack the valve, push the button, and voila, it's burning. Granted, I'm just heating water for drinks or to add to freeze dried or food-dryer-dried food, but I'd guess from breakfast to dinner it boils a gallon or so of water, and an 8-oz. (net) cannister lasts 2 of us for over 5 nights. When I get a cannister, I weigh it, then sharpie-mark the tare weight of the cannister on the bottom, so I can track how much is left. Whew, far too technical for biking. But, if you're subsisting on gourmet Kraft mac-n-cheese from boxes, this would work.

I also made a couple of cat-food can stoves and bought a high-zoot popcan stove from a company in Oregon, mostly because they had a really cool bent-wire stand to hold pots on, and sold the setup with a heavy aluminum foil windscreen. Very light, does the job, lacks the on-off-simmering versatility of the Primus cannister stove.

For touring I think I'd pack a cat-food can stove and a popcan stove (the penalty of the extra 2 ounces is so minor). The windscreen REALLY helps keep the heat near the pot. If doubling or tripling regular aluminum foil doesn't make a stiff enough screen, get a turkey-roasting aluminum "pan" or a drip-pan for the bottom of the oven and cut it up with sturdy scissors; I'd fold/hem the edges to make it less likely to cut your hands or panniers. You could fold the short edges to make an interlocking hoop just a bit bigger than your pot.

Google for "pop can stove", cat food can stove, etc. and look around at the ultralight backpacking gear sites, you'll find all sorts of clever things.

To carry the fuel, (backpacking, again) I got a measuring/squeeze dispensing fuel bottle. One of the things about these little stoves is that they don't like to be filled too far.

Have never owned a Trangia but their ability to simmer by partly covering the burner could be nice.

One thing about alcohol stoves -- you can't see the flame unless it is really dark outside.

DON'T bother with the "jetboil" and other "systems" -- too much $$ for too little gain.