Call your Humane Society, Call your Vet, ask them if they know of any 'temporary foster homes' while you are in CRISIS.
Make it 'clear' that you are willing to pay for their food, cat litter, their needs, etc while you seek out a 'new home' for yourself and them.
You might be surprised at what they come up with.
That is how I found my house/pet sitter for when I travel. She was the #1 vet tech at my vets for quite a few years, before she decided to retire and then realized how much she missed working with the animals. She will not only come to my home, but in other instances 'fosters' while owner(s) are out of town or in a crisis.
All is not lost yet.
I do believe if you can get that co ered, you will be 'out the door' since your bags are packed.
Remember, we are walking with you in spirit.
Love and hugs,