Start from the bottom at the cuticle. Peel off the Layer slowly and carefully. If it is difficult to remove the Layer, you can use nail oil, drip it under the Layer, then slowly peel off the Layer. Then wash your hands thoroughly with soap and water.
Before applying new Layers, scrape off cuticle residue from the nail bed and remove/reduce cuticles. Also make sure that the nails are completely dry, to avoid that there is moisture left under the nail bed or the nail bed being softer than usual.