A few points, from someone who takes funerals as a small part of my living:
Who pays? If the deceased had assets, their estate pays. If they didn’t, then whoever organises it pays. If no-one is willing to do that then the council will step in. You will get no say over when it happens and may not even be able to attend.
Direct cremations: these are by far the cheapest option, but bear in mind this means you cannot have a funeral service. They will use the early/late slots at the crem, which are less popular, and do it when there’s availability. You may not know when it is happening until afterwards.
You might think this is what you want, but don’t underestimate the depth of human need to say goodbye. You may be caught out if you literally do nothing. Funerals are for the living, not the dead.
You can reduce costs by: bringing your own flowers, printing your own orders of service, using your own car and having a reusable coffin (they are NOT standard at cremations). But if you have the money, you will often find that the effort of making the decisions and organising these things is just too much to bear, especially if the deceased was close.
This is why many people end of paying for services which, in other times, they would quite happily organise themselves. And the vast majority of funeral workers are caring people doing a tough job, and of course they deserve to make a decent living, in the same way as NHS workers do.
FWIW, I think the pandemic is going to lead to permanent changes in funeral customs. The crem where I do most of mine offers all manner of recorded music, including hymns with choir or congregational singing. In normal times, this is a relief, because the majority of funeral attenders are actually not used to singing, and their own attempts are a bit embarrassing to all concerned.
At the moment, singing is not allowed, so they sit and listen. And I think hat in the future, actual singing at funerals will be the preserve of families who are regular worshippers, bolstered by members of the deceased’s church. Others will sit back in relief and either just listen to hymns or dispense with them altogether.
The other change caused by the pandemic is that people spend a lot longer hanging round after the service talking to the family, because there is no wake to go on to. Graveyards are very chilly places in December, so I’m hoping that reverts to normal after the pandemic.