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 Memphis, Tennessee?
A: You can find a list like this: Kitty Sitters / Boarding > Texas > Austin

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

Papillion
Club Pet LLC, 1211 Royal Dr, Papillion, NE 68046; (ID #427), call 402-339-2356; located in or near Sarpy county  (see map)

Roca
Wilderness Kennels, 2030 Saltillo Rd, Roca, NE 68430; (ID #1408), call 402-423-4212; located in or near Lancaster county  (see map)

Springfield
Merry Meadow Farm, 12104 Capehart Rd, Springfield, NE 68059; (ID #906), call 402-339-0340; located in or near Sarpy county  (see map)