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What bboy said. And that white blooming stuff below the Asiatic Hybrid lilies is Gooseneck Loosestrife (Lysimachia clethroides). It can take over a garden. I'm guessing you've just moved into a new place and are familiarizing yourself with what's in the yard. Just wanted to give you a heads up about this plant in particular so you wouldn't transplant chunks of it around. You'd probably regret it.

Tiger lilies are wonderfully easy. The pointy tip of the bulb should be about 6" beneath the soil line. Put them in, cover them up, water a little and that's it. Good drainage is important, too, so the bulbs don't sit in water and rot. Lily bulbs definitely do not like being over watered, so it might also be wise to plant them away from other plants that have heavy water requirements. There are as many schools of thought as there are responders, but since the bulb itself provides everything the lily needs, I don't add additional fertilizer when planting. As for cats - don't let your cat eat the bulbs of tiger or any other kind of lily. The reason to keep tiger lilies at a distance from others is that they're rapid multipliers. The little bulbils that form in the leaf axils naturally drop and each one seems to sprout - giving you more blooming sized lilies in about three years. I have hundreds of tiger lilies and I often collect the bulbils to start a patch elsewhere in the yard.

The attached link illustrates the seed pods and seeds of a true lily. It also explains how to grow them from seed. Anything that looks significantly different from this is probably not a true lily seed. Bulbils - those little black berry-like nubs that are found on some lilies tucked in at the leaf axils - are not seeds but sort of baby bulbs. You can also plant them like you would plant a row of sweet peas and in a couple of years have full size bulbs. But not all lilies will produce bulbils - tiger lilies and many of the Asiatic hybrids are the most common sources. Here is a link that might be useful: growing lilies from seed