Install an unvented hot water cylinder
Or a thermal store - which is better depends on many factors.
Thermal stores are particularly good if you have, or plan to have, multiple sources of heat - especially if one of those is an uncontrolled source such as a wood burning stove.
Although the hot water is stored, losses from a modern cylinder are tiny, nowhere near the massive waste from an ancient uninsulated copper cylinder.
I've mentioned this before.
It's 12 years or so ago now that I bought my second rental property. And at the time was fitting a thermal store into the first one (a flat). So while both were empty I did a little trial :
I left the thermal store being heated by the immersion heater, and after a day to settle down read the meter. After a couple of days I read the meter again - and simple maths gave me a standing loss of about 80W average.
In the house, I left the heating off and read the gas meter, then again after a couple of days. Again, simple maths (with help from the conversion factors on the gas bill) told me that the boiler was losing around 160W average to keep the hot water heat exchanger hot for that "turn on tap, get hot water quickly" feature - rather than "turn on tap, wait for up to a minute while it heats up" (there's even a special valve you can buy designed to restrict the water flow until it's hot and so optimise this stage !)
I think anyone who realised just how much gas was wasted* by the boiler would put it in eco mode to stop this behaviour. But it was interesting to get some numbers to counter the "thermal stores have to be inefficient due to heat losses" brigade.
Note that before lighting the flame, and after turning it off, gas boilers will run the fan to purge the combustion chamber of any residual "gasses that shouldn't be there". During these periods, it's effectively turning the main heat exchanger into a finned radiator actively transferring heat to the air that it's blowing out the flue. And running short cycles, like when just re-heating the small water content of the heat exchangers, will maximise these losses.
As an aside, at the time (Dec 2010) we were going through a very cold spell - down to -20 at times, barely reaching freezing during the short days. I also did a similar test running the heating off the immersion heater to find that the average heating load for the flat was about 2kW - under about the coldest conditions we ever see here. Contract with a combi with a minimum heat output of 9.5kW - so simultaneously both grossly oversized for the heating load, and significantly undersized for hot water (tenants weren't impressed by it's limited ability to fill a bath at a sensible rate).
In such a situation, one does not turn the water heating on ('from cold') immediately before one wants to take a bath - one heats up the water in the cylinder long before that - so that it is immediately available to fill a bath (as fast as the pipework and height of 'water head' {or pressure} will allow) when needed.
The common situation is that in which people want hot water to always be available (not just for baths), so their system is arranged such that the cylinder is always full of fairly hot water. However, if you want the cylinder only for filling baths, then you would simply need to switch the immersion on, say, 3 or more hours before you intend to take a bath (using a time switch to do that if necessary).
It used to be "a thing" to "put the water on" in preparation for the weekly bathtime, and it was left off the rest of the time - hence the number of houses where there's a prominent "IMMERSION" switch somewhere easy to see and access (such as in the kitchen). But these days we've got so used to hot water on demand that generally whatever source is used is left turned on all the time and simply maintains the tank of stored water by use of a thermostat.
...and, in any event, during Winter the heat 'escaping from pipees' is not 'wasted', anyway, since it just heats the house.
Exactly - something that the "efficiency police" seem to either fail to understand or (I suspect) deliberately ignore. Of course, in summer it is wasted energy, but in our house I'd say the heating is on at least some of the time for something like 9 months of the year. And it's not escaped some of us that there's a direct correlation between how much we use the lights, and how much we need the heating - so energy "wasted" by inefficient lighting isn't totally wasted (observation that we don't live on the ceiling where the hot air gathers is noted).