The Trillium flower is a wildflower that likes shart to part sun. Keep moist and out of direct sunlight if possible. A cool damp location where the plant will receive morning sun is ideal. Do not pick the leaves or petals as it will slot the growth process tremendously and could delay blooming for up to one year.
That depends on which one you are trying to care for some need well drained soil and others need rich watered soil. The best thing for you to do is to either do a net search on them or go to the green house and talk to them about it.
Trilliums are part of the lily family and takes lots of patience. Morning sun(not direct), afternoon shade, good soil and drainage and you should get a leaf the third year of its life with blooms not appearing for five years. Keep area weeded and watch out for the deer! They like lily snacks!
They need to be planted in a cool shady place that recieves early morning sun. You can run an internet search and it will give you a ton of information in moments and you can printit for further reference.