I will never have another pet.
I know you feel that way now, but never say never!
It is always devastating to lose a loved member of the family like that. That is one of the only drawbacks of having pets. We love them dearly, but we out live them.
Never say never, as you never know when another pet will enter your life.
We have been dogless for about 4 years now which is the longest I can remember not having a dog. Our twin sister cats grew old and died within a year of each other, losing all of our pets around the same year.
Now, we are back up to 4 cats, all of them rescues. One of them was abandoned on our back porch and was only a few days old when we found it. We eye dropper fed it, then bottle, then real food. After a large vet bill, we got her healthy and now she's happy and 4 years old. Our other cats were all rescues too, two of them from elderly owners that needed to go into assisted living and could no longer keep their cats, but were quite concerned that the cats would get a nice place to live.
No pet has ever "replaced" any other pet. They all have unique personalities, and have all made wonderful additions to the family. That's why I say that after you have mourned for awhile, eventually the time will come where you could use the love of another pet, and that pet will certainly be able to use the love from you.
So please.... Never say never!