There are designated ports of entry so if you try to come back through the 'wrong' port, it won't work. (There aren't that many.) There are forms to fill out, so I'd get those in advance. Also, of course, some species will not be allowed.
This is over and above whether or not the Asian country or countries will let you export it or land with it, what they may require in order to take it and whether or not the airlines will let you carry it.
This is 'personal use' type stuff. You will want something else if it does not look like personal use.