I bury my pets in my yard, in an unmarked grave. At my current house, they are under a honeysuckle bush that flowers in the spring. When I move, I do not bring their little bodies with me. But I do keep their memories tucked deep in my heart.
I think just like each person grieves differently, each person has a somewhat different way of dealing with the pets body. Whatever brings comfort to you and is respectful of the pet, is what should be done.
We have even had pets and fosters cremated at the vets office. My preference is to bring them home and bury them, but it doesn't bother me much to miss that little ceremony.
I am sorry you have lost many pets over the years! I hope you can understand what we are posting. We have members from all over the world, and I am glad they make the effort to post in English. Thank you.