As your tyrantrum is not aggressive, it would actually be easy to introduce your child to him (or at least easier than it would be to introduce a baby to an aggressive tyrantrum).
First and foremost, though, keep in mind that it’s extremely important to exercise discipline. Always keep your tyrantrum’s poké ball handy, and recall him whenever it seems that he’s getting too excited around your child. Additionally, never allow your tyrantrum to be anywhere near your baby without your supervision. And of course, be sure that your tyrantrum is well trained and can follow simple commands such as “heel” and “drop it.” Even if he’s sweet and loving, if he isn’t extremely well-trained, that may make introductions difficult.
It would help at this stage, before the baby officially arrives home, to train your tyrantrum in a way that prepares him for the new arrival. Getting him used to the sound of a baby crying, for example, or getting him used to all the sounds a baby would make would cut down on the likelihood that he panics when hearing them for the first time from your baby. You can do this by playing with the toys you intend on giving your child, playing videos of a baby crying, and so forth. If you’re the mother’s partner, it may also help to bring home things that smell like the baby (hats, socks, or so forth) prior to the mother’s and baby’s release from the hospital to ensure that the transition goes smoothly for your tyrantrum.
When introducing your baby, be sure that the event is calm. Hold the baby (or have the mother hold them) and let your tyrantrum investigate first by sniffing or observing the baby. When it’s clear that your pokémon isn’t about to grab them, only then is it safe to put the baby down. Continue allowing your tyrantrum to investigate the baby under your supervision.
Parties might put your tyrantrum on edge or wind him up prior to the introduction of your baby, so try to avoid throwing a celebration for your new arrival for the next few days, even if you want to. Try not to disrupt any routines you’ve already established with your tyrantrum (always feed him on time, exercise him, and give him affection). By sticking to routine, you can establish the idea that your tyrantrum isn’t being replaced by the baby. Doing this will decrease feelings of jealousy in your pokémon and avoid any instance in which he acts out in an attempt to gain affection.
In short, it will require some patience on your part, but it’s important to exercise care and discipline while emphasizing your tyrantrum’s continued importance in your life. Once your child is older and your tyrantrum is more used to them, you can include your tyrantrum in your child’s life (by, for example, allowing your child to play with him directly) to reinforce their bond. If you succeed in that, your tyrantrum may grow into your child’s foremost companion.
I wish you the best of luck, anonymous, and congratulations on your baby.