Well... from my experience, peeling a couple of layers off a bulb won't harm it at all... but peeling many layers may cause it to abort the scapes it has now so it can recover to bloom another time.

I would lightly dust both bulbs with Captan, an anti-fungal powder available at most garden centers, and then I'd brush a bit of rooting hormone powder on the root area. Allow the bulbs to dry for a day, or so. Then, I'd pot them in a very loose, free-draining medium and water them sparingly. Set the pots in a warm, bright window and let them do their thing.

Bulbs are rather prone to rot, so it's important that the medium you use is porous and quick-draining, and the pot you use has a drainage hole... and it's also important to water them properly, allowing them to dry out before watering again.

When bulbs are sold in kits, they normally come with the plastic pot and a bag or disk of medium. I pitch the medium on the compost pile and use the plastic pot to grow something else. I prefer unglazed clay pots and medium that closely resembles bonsai mix, being comprised of larger particles and draining very fast.

When planting the bulbs, I leave between a half and two thirds of the bulb, itself, above soil level. I water well once, if the bulb is healthy, and wait until I see top growth before watering again, providing it requires more moisture. Since I use a very porous medium, my bulbs usually require more frequent watering, but I am sure to stick my fingers down into the medium as far as they will go to make certain. Hippeastrum bulbs hate "wet feet", and when the soil ball holds too much moisture for too long, the roots tend to rot, which can lead to a rotting bulb.

I hope this has helped you, and answered some of your questions... I know if you do a search in this forum, using whatever key words you need, you'll find tons of great cultural information! Welcome to the wonderful world of Hippeastrums!