I generally try for Hardcovers as they have a more premium feel than Trade paperback.
The way it's usually worked is that companies like Marvel and DC will released the first pressing of the volume as a HC and then about 6 months later, they release it in TPB. Granted there are series that only get the TPB or they'll release some special hardcover version later on. As for printings, I don't think you can without opening the cover. The only place you may actually be able to check would be comic shops as the employees may know. But bookstores and the like, they usually just carry the newest printing so unless it's been sitting on the shelf since it was released. It's a newer printing.