I moved two cats 2000 miles without a problem.
I had a heavy plastic small dog carrier. I put a small aluminum square pan litterbox and some towels in it. and catnip flakes. I put both cats (mother and daughter) in it and locked it with a padlock. I fed them through the bars. I gave them water too, and petted them through the bars, but I did not let them out of the carrier until a day after it sat in my new house so they could get used to the new smells and location. Then they came our slowly. The cage was their safe little house.
They were in it four days.
Cats are such homebodies that they will panic and run and hide when in a strange environment, like moving.