Find all the files and symbolic links under a directory and move it to other directory in unix

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Linux

I have a directory with contains the following

ls
cat.txt mat.txt animal(directory) cat_bar.txt
ll
rwxrwxrwx 1 85594 16416   26 Feb  3 08:38 cat.txt -> animal/cat.txt
lrwxrwxrwx 1 85594 16416   53 Feb  3 08:38 cat_bar.txt -> sle12/cat_bar.txt
lrwxrwxrwx 1 85594 16416   43 Feb  3 08:38 mat.txt
drwxrwxr-x 2 85594 16416 4096 Mar 17 06:01 animal

when i give the find command as below
find . -iname "*cat*"
the output is

cat.txt
 cat_bar.txt
 ./animal/cat.txt
 ./animal/cat_bar.txt

I could see that the file under animal directory is moved to the new temp directory, but symbolic links are not moved.
How can we move all the files including symbolic links

What I have tried:

Problem:
I want to move the result of find in a temporary folder, so i gave the below command
find . -iname "*cat*" | xargs mv -t /home/temp

Error. i get the below error
mv: will not overwrite just-created `/home/temp/cat.txt' with `./cat.txt'
mv: will not overwrite just-created `/home/temp/cat_bar.txt' with `./cat_bar.txt'

the solution i want is that the command should move both links and files to the new folder