For your stock hairpiece, you can only choose the color you want from a very wide color chart. If you pick a lace base like the Total HD, you can also choose between French lace or Swiss lace.
See the stock options in the shop
The Smart HD model lets you customize the wave. You can go for a wavy, curly, or frizzy texture. This customization needs a few extra days.
Swiss lace will be a bit comfier and thinner than French lace.