Replace the pipes and, if it's time, the boiler.
There's no easy or practical way to clean mineral deposits from the inside of pipes, and in any event you would have to remove them and soak them in chemicals and/or run stiff brushes through their insides. Once you bite off the need to remove and replace the pipes, it makes a lot more sense to replace them with new ones. Use polyethylene pipes as they are more resistant to the problem.
Strong chemical solvents in your pipes can get into your drinking water. Unless your bidet has his whole own plumbing system, you can't do that.
Look on YouTube to see what the inside of a very calcified hot water heater looks like. You will quickly understand why you can't reverse that with vinegar and I hope you'll agree that using stronger chemicals is a bad idea, not to mention expensive.
A water softening system can delay this problem happening again.
Probably not the answer you were looking for, and if it seems drastic, think about the long-term plans, so if / when you do a bathroom renovation you can include a more extensive plumbing refresh at that time.