I’ll second all posts saying you should talk with a local bike shop and see what’s what in person. That being said I have a few thoughts.
At 5’4" and 114lb, you’re about my size. I’ve often had a hard time finding bikes that fit properly, and have often ended up riding “women’s” frames as a result. It’s all about the stack/reach. Some notes I’ve made about bikes at the smaller end of the size spectrum:
- Stay the hell away from Canyon. Their small size bikes are tuned horribly, and are therefore about as interesting to ride as a 2x4. They also nuked the geometry - it’s fairly clear no one at canyon rides anything smaller than a 52. Head tube angles slacker than 70 degrees don’t belong on road bikes, much less racing bikes.
*The Amira is a fine bike - it was the women’s version of the old Tarmac. In time, the tarmac has advanced a lot, and the same can’t be said for the Amira. I’d hop on a Tarmac and see how that feels.
*I didn’t want to like the Liv Langma as much as I did, but that bike rules. It’s light, stiff, somewhat aero, and once I got my fit numbers built out on the bike it was a riot to ride. It’s also a good value, which is nice because the stock wheels are garbage and should be replaced ASAP.
*I haven’t spent too much time riding Felt’s newer road bikes, but they never felt right (sorry) to me. Can’t quite put my finger on it.
To be perfectly honest, at your budget I would go find a shop with a mechanic who’s on the same page as you about riding, style, and preference in bikes. Nail down what you want in the frame, and then build out the bike as you please. I’m a firm believer in the fact that you’ll end up with the bike you want eventually, so it’s cheaper in the long run to do it right the first time than faff about trying different things on the way there.