Australia

I bought an expensive induction stove secondhand (so it was cheap), cost a few hundred bucks to get it wired in since at full power they generate a ridiculous amount of heat and a conventional electric cooktop/oven circuit won't cut it.

It boils water much faster than a gas stove - it's not even close. It also changes temperature quicker than gas (which has residual heat in all the metal), and the temperature can go extremely low too. The lowest setting is basically the same as if you held the pot in your hands - it will eventually heat up to body temperature. Pretty awesome for keeping food warm after it's finished cooking.

The temperature changes much more quickly than gas, and it's easy to clean, and you can use the cooktop as part of your kitchen bench when you're not cooking. I love induction.

Electric hot water heater is great - costs basically nothing to heat during the day (it's on a timer, only heats when the sun is high, so even on an overcast day the panels produce enough power to heat the water). There's an override switch to make it heat outside of hours if we have family visiting and need more hot water overnight. Before we had solar, the hot water heater was about a third of our electricity bill. Now it's basically non-existent. We use a lot more hot water now, for washing laundry/etc.

Not fully. It's on the list of things to do if our income ever decides to match living expenses ever again.

We took off an old solar HWS, put panels in its place and bought a 400L element HWS on a simple timer. The HWS functions as a "battery" as it will stay warm for 4-5 days if we turn the timer off. We downgraded the element so it wouldn't use more than the panels supply.

If you have the roof space, a solar HWS could be the go, or a heat pump. Heat more water while the sun is shining, it's an efficient power store if the HWS is insulated well.

We also bought a cheap IKEA induction to use instead of gas where we can.

We were almost the same. So we had an old solar hot water that was non-functional when we brought the place. It just had a little instant gas backup that was slowly dying. We replaced it with heat pump hot water, ditched the gas cooktop for induction. Also disconnected the old gas heating for split systems. It's all amazing. We're getting solar shortly which will help but we're already saving money not having gas connected any more. The supply to property charge was the killer.

Yep that's exactly what we did. I started with the gas hot water not functioning effectively, so we replaced it. Then we realised we were paying the daily connection fee just to run the stove for 30 mins a day and swapped that for induction and completed cut the gas off.

Heat pump which is a reverse cycle aircon.

Solarquotes has a series of posts on solar hot water recently, here is the last one. They do price breakdowns - https://www.solarquotes.com.au/blog/are-heat-pumps-better/