Find a local facility that boards cats or even "at-home cat care" from a kitty sitter on this page. Example:

Q: How would I find boarding for cats near Redding, California ?
A: You can find a list like this: Kitty Sitters / Boarding > Texas > Austin

Q: I'd like to find a professional cat sitter in Nebraska.
A: You can find nearby pros here: Kitty Sitters / Boarding > Nebraska

Nashville
Pet Resorts Of America, 7200 Charlotte Pke, Nashville, TN 37209; (ID #1074), call 615-356-6996; located in or near Davidson county  (see map)

New Market
Kodak Pet Grooming And Supplies, 1701 Dumplin Loop Rd, New Market, TN 37820; (ID #814), call 865-484-0801; located in or near Jefferson county  (see map)

Seymour
Grooming & Parrot Emporium, 10721 Chapman Hwy, Seymour, TN 37865; (ID #668), call 865-609-0992; located in or near Sevier county  (see map)