One thing I hate at funerals is shaking hands with very emotional relatives after the service. At my father in law's service we asked to do the hand shaking before, when we were less tearful. It was unheard of at the crematorium.
Haven't been to many funerals, yet. However, been to a few at one crem in particular. It's a horrid place and the coffin sinks into the platform during the service. Always gives me the shivers. One place we went, a curtain was drawn around the coffin which seemed much nicer.