Seraphim: As far as I know the only way is to find a shard with the plans for a Trappers Guild and build that in your Stronghold before you're able to actually use any eggs.
RoseLegion: I believe this is accurate. It's additionally worth noting that they can be turned in as part of certain quests and that most of them are
NOT first level units so make sure your accounting for that when you recruit them.
Yup. Even if you don't yet have the ability to use the eggs yourself, there's the possibility of a random event coming along where you can use them. I don't know how common it is, compared to say the plagues or the Inquisitors (Damn I hate those guys. Any way to get rid of them? D: ), but a Monstrologist came along and asked if I wanted to sell the Giant Slug Eggs I had in my treasury. Offered two items, some gems, or some gold. I went for the items because he was offering the last part of the Incineration set.
So worth keeping around just in case, even if you can't use them.