So sorry to hear of your loss. Cats are so very important, especially to kids.
I did not plan on replacing my 2 after they passed away, because I was so stressed out with working and housekeeping.
My 2 kitties died over 6 years ago. One was 18 and one was 14. They died within a month of each other. One from kidney failure and one had a stroke.
Nobody was smiling for a couple of weeks. The home atmosphere was sooo gloomy.
So without telling anyone I went out to do some baby kitty looking. I found one kitty in an animal shelter. He had been abandoned and was so very thin.
I brought him home and set him down in my child's room.
My son smiled for the first time in 2 weeks!
A couple of weeks later I found another little one at another shelter and brought him home. Now the first kitty was so very happy to have a 'brother'.
I still have them both. They go outside and hunt together. We have no traffic in my area, so they can both enjoy the great outdoors.
They bring a lot of joy to the household. I hope you find a new little one soon.