I am trying to find information on how to Over-winter Lily bulbs.
I don't want to discard them and have to buy new bulbs each year, so I am looking for information and instructions on how
to prepare and preserve the bulbs over the winter.
Any help is appreciated. Thank You.

Are they planted in the ground or potted? What are the winters like in your area?

They are potted. There are 3 Lily bulbs. I am in Zone 7A/New Jersey
Winter Hardiness Temps = 0 - 5 degrees

What type of lily bulbs are they? Oriental, Trumpet, or Asiatic? And do you get snow cover where you are? Asiatics are the most winter hardy.

Oh yes, we can get a lot of snow here in New Jersey.
They are Oriental Lily bulbs.

I would think you could dig a hole deep enough for the pot to fit in then put it in the ground. Then mulch over it with a couple inches of bark mulch. Then in spring pull it back out. Just save the dirt to fill it back in with.

I can't dig up my lawn to accommodate these pots - they are a good 8-10" in diameter.
I will remove the bulbs, put them in bags with peat moss and place them in the refridgerator.

In the fall, I dig mine out of the pots and keep them in plastic bags full of peat moss. I then place the plastic bags in a box in the garage. In late November, I wrap the box in three towels and store them this way until March, when I pot them up again. Repeat...

If your garage is unheated you could overwinter the entire pot in there. I do that when I forget to remove bulbs from pots before the soil gets frozen.

I don't have a garage ..... but I do have a shed (I live in a Mobile home).
I put my Wisteria bonsai in the shed last winter in a box with the pot wrapped in bubble wrap.
The ceramic bonsai pot cracked and broke, and the wisteria bonsai died. Probably because the
roots got exposed and the bonsai died of the cold. I don't know how a Lily bulb will do in the shed,
and I wouldn't know how to wrap it. Any ideas ?

Unless you can plant the bulbs in the ground (it's probably not too late now), then your idea to refrigerate the bulbs sounds like the best option to me.

Yes - wrap the bulbs in peat moss, place them in a brown lunch bag, cover with peat moss or leaves (after the trees drop their leaves) and place them in the vegetable in in the refridgerator for the Winter until March.

I don't think a small (12x12) shed would work. It didn't for me. It got too warm inside in late winter, even with no windows. Things came out of dormancy way too early, and then the usual long cold spell after killed the plants. I'll bet this is what happened with the wisteria.

Damn. Ok. Well it looks like the Lily bulbs are going in the refridgeratior