Focusing more on your second point rather than the spiritual aspect of getting to grips with the prospect of your own death:
[making it] easier for loved ones to clean up after you.
There are many things you can do to help your loved ones in such a situation. Generally, the hardest thing to do for people in mourning is to take decisions. So, in addition to making it easier on them by not having much clutter, make sure that there's a clear plan. The plan may vary based on your culture and that of your loved ones, it may also vary based on your local laws because not all countries handle an individual's death the same way.
For example, a plan may include
a written will (make sure it is clear, with no room for interpretation). Depending on your local laws you may want to consult a lawyer or other professional.
Funeral arrangements: a clear outline of your choice regarding cremation/embalming/burial, whether or not you want a wake, choose your clothes and casket etc.
Basically go through all the decisions that need to be made after one's death and try to make as many as you can yourself before you pass. When my uncle passed away (car accident), my grandparents found out just how much effort was involved in planning the procedures. They planned everything for their own funerals so that we wouldn't have to go through it when they passed - they even paid for it in advance so that there would be no financial stress in the mourning period. It made it much easier for the whole family to go along with the plan than to come up with one when the time came.
In addition to making it easier on your loved ones, having a plan ensures that you get what you want.