My mother had a prepaid funeral plan and it was a blessing. Shop carefully for this, since the prepaid cremation plan turned out to actually cost more than cremations at competing mortuary chains.
She also specified her funeral arrangements in advance, another good thing to do. Get a recording on her wishes, if and when she has a lucid day. My great-grandmother, half Cherokee, wanted to be buried in a red dress. Her descendants wanted something "respectable"--old lady lavender--and eventually wore her caregiver/daughter down.
Make sure that you are not allergic to any hair chemicals used for the space helmet. I dyed my hair just before my dad's death, same dye as always, but I had developed an allergy, probably from stress. I attended all the services with hives the size of golf balls on my face and shoulders!
You're doing well. Don't let anyone tell you otherwise or claim that you're cold-blooded for the way you handle these arrangements.