I'm against the monarchy having anything to do with ruling the country or having any kind of political or legal powers but I'm OK with them being a tourist attraction that bring money in to our economy.
In the 21st century with a fully functioning government (yes, I know they're all useless idiots but in theory, they should be competent enough to run the country. We're just going through a bad spell at the moment) there should be no need for a monarchy and a government. The Queen pretty much did as she's told and backed the government and their decisions. She doesn't really add any value as a head of state. But as a tourist attraction the monarchy are huge. London in particular thrives on tourism and if we were to take all that away, the economy would suffer.
I'm hoping that Charles will start to bring the Royal family a little bit closer to the real world. Obviously the gap between the normal population and the ridiculously wealthy, over privileged royals is always going to be huge but they can still work towards being more relatable. Charles is only likely to have up to 20 years on the throne before handing over to William who again could be even more progressive and make more changes. The changes are always going to be slow and probably a good 50 years behind where they should be but unless they modernise the calls for the abolition of the monarchy will grow stronger each time a monarch dies.