Gas WH Timer
I have a gas water heater with a fan-forced vent and electric ignition so it uses electricty and can be put on a simple appliance timer. I had mine set to heat to 140F & run from 4 to 7PM. I have a 2 inch insulation blanket on the tank. After my morning use of hot water in the kitchen and in the shower, the water would be about 130F when I came home about 19 hours after the heater last fired. With morning use and standby loss, that's about a half a degree an hour drop in temperature. Before some weather disaster that came through here last year, I pulled the "off" pin out of the timer so that the tank would always be at full temperature if the power went out (which it did). Comparing the costs of the months with the timer and without, the savings from running it on a timer amounted to 1 therm a month, not a great saving, although it would probably be more of a saving when the water is colder in the winter. I had the timer I used so I did not have to buy it. I don't think you would realize the $95.00 purchase price in gas savings as long as you lived in the house if you buy a 2 inch insulation blanket for the tank and the insulation blanket is cheaper. If you insulated the tank, you could probably get by with turning it to "Pilot" before you go to bed and turning it back on for a couple of hours when you get home, if that is when you can do your laundry and run the DW. You would need to train yourself by leaving yourself notes in places you would see when you arrive home and like on the bathroom mirror where you would see it before going to bed, but in this market, the saving probably is not worth it.
I would caution you about using the delayed start on the dishwasher. If you do that, you are going to have it start with cold water in the line because you are not there to draw up the hot water. If the dishwasher is very close to the water heater, that won't be as much of a problem, but if it is any distance away, it is going to cause your DW to do more heating of the water electrically and you would be increasing your power bill needlessly. If you had off-peak billing for electricity and heated water electrically, it would make sense to start the dishwasher an hour or two after the water heater came on in the night, but not with gas hot water.