My husband’s family doesn’t hold a funeral. They cremate the person and then wait about 6 months and hold a very informal remembrance service. It’s actually kind of nice because the drama of the moment is gone and then folks spend the day eating, drinking and telling tall tales about the departed. They usually plant the ashes with a tree so there is some physical activity for those who feel like digging, etc.
I held a small private service for my dad because he had been ill so long that he lost contact with his friends and most of the family was gone already. He had bought a plot, so I used it. I found this experience very unsatisfying because i had to deal with a funeral home/graveyard company and felt they were padding expenses. Chairs? $40.00. Washing and dressing $250. Transportation from parlour to grave site? $100. Ugh.
I held a public ceremony of ash spreading for my sister because she died suddenly in her prime and had a lot of friends and coworkers that seemed to want a service. This one did feel a bit like an obligation, but I didn’t mind doing it because folks desired it. Really, most of it was planned or suggested by her friends and they seemed happy to participate and make arrangements, and I appreciated the help.
If your parents still have social connections or church or other organization family, you might like to have a service. You can do any kind you (or the surviving spouse might) like. My church is very flexible- a full-on service with casket/body or a more light and sedate remembrance much later. Our church property has a lot of benches and tree plantings in the name of someone. And often it is nice to meet folks who have interesting stories to tell about your departed; things you didn’t know about.