The last several retired CS pets I purchased [Retired are Omni, Kioka, and Liyure] a month or so ago, I paid 35 - 45 million TU each. Yours has a 3-letter name that is also pronounceable and is a real word AND a real word name. That bumps the value up even more, because names can bring a good profit in this game.
You may be able to sell the name at a nice profit while it is on the Liyure, but you also may be able to sell the Liyure and the name seperately. I would not sell the Liyure for less than 45 million, personally. The name, I would not sell for less than 35 million, but I am willing to bet that it could sell for more. Not everyone values names the same, so check around for lots of opinions on that one. =)
If I were you, I would hold onto the Liyure until I was more familiar with the game and values of items and pets, because you are likely to get offers of those along with offers of TU.