Hi there Paul,
A decent, fairly inexpensive hard case can be had from SKB or Gator ...easy peezy. Just check dimensions carefully and you're good to go.
Sidenote: the GA-bodied Taylors have the typical width of most dreds at the lower bout, but the upper bout will be narrower. It's not a problem so long as the guitar is snug and doesn't slosh around in the case. Good neck support and a fit at the lower bout is important in keeping the guit secure, but on the whole, your 114 should not be a problem to fit!
Edward