By the way, the back plate of the cage must be installed with the bigger end pointing down, or the chain will keep falling off the lower pulley. Make sure it has a narrow nose and a standard-width back. If the nose is too wide it will rub the insides of your thighs. There are wider saddles for women, whose pelvis is shaped differently. Surprisingly, feeling the padding of a saddle for softness does not say much about whether the saddle is comfortable.
Saddles usually consist of a hard shell, padded with foam with a flexible plastic cover.
The thickness of the foam padding does not make a lot of difference for comfort because there are only two small contact points where bone meets the saddle. Even gel padding is only marginally better than foam. It's more important whether the plastic shell is completely rigid, which is not good, or whether it is flexible and held in shape by the two rails that the saddle is mounted on, especially if these rails are themselves flexible. Some people swear by leather Brooks saddles, which work by the same principle except that the leather stretches more than plastic and so the rail mounting needs to be re-tightened occasionally. The leather needs to be rubbed frequently with oil at first so it is soft enough to change its shape to adjust to the shape of your pelvis, and must be protected from rain.