I have no one, either, and just had a will drafted. In the will you can give power to the court to appoint a "professional" executor who will take care of your property if you have any, and also make sure your wishes and desires (burial type, cemetery, service, etc), if listed in the will, are carried out. The funds to pay the executor come out of your estate based on a percentage. If you have no estate funds, such as no house or money in the bank, I'm not sure how that works. I suppose the county or city somehow covers the cost. You can put just about anything you want into your will, as long as it's not illegal. If you want to make sure a certain someone gets nothing out of your estate, you put that in your will, too.
This is not true. If your wishes for "proper arrangements" are in your will, the executor who is appointed by the court, will see that your wishes are carried out. When you get your will drafted, you tell the lawyer that you want the court to appoint a "professional" executor to handle your estate. The lawyer will put that in the will and that's that. If you have any members of your family, or friends, that you do NOT want to act as executor of your estate, you put that in the will, too. Same for disinheriting anyone. There is a "pecking" order as to who has claim to your stuff if you have no immediate family. If you don't want the cousins who come out of the woodwork to get anything, make sure you supply names to your attorney to formally disinherit them.