I'm sorry for your loss OP.
I'm in rural Ireland and although about 80 percent of wakes are held in the funeral home nowadays, it is very unusual for a burial to be more than 3 days after a death. The funeral directors don't have storage facilities and embalming, if required, is done at the local hospital mortuary.
Graves are dug by volunteers from the village of the deceased. Local radio broadcasts death notices several times per day and these are quite the cultural phenomenon in rural Ireland. Ardal O' Hanlon made an interesting documentary about this a few years ago: vimeo.com/116946000
Anyone who has had any kind of connection to the deceased turns up to the funeral home- friends, neighbours, the postman, the district nurse, vet and so on. At my mother's wake was at the weekend both local and national politicians turned up, which I suspect would be unheard of in the UK.
The coffin is carried by male relatives/friends of the deceased and one of the chief mourners rides up front in the hearse with the funeral director. I have never seen any hired limos or cars at any funeral I have attended.
Traditional wakes in the house still happen and many people will visit the family after the burial. If the wake is in the funeral home, many families prefer the house to be kept private until after the burial. My dad was waked at home and while it was comforting it was also very full on. All I wanted to do was to hide in my bedroom. My mother went to the funeral home and I was glad to be able to go back to my home and close the door after me.