If it's relevant to plot then it should be relevant to character motive, and in first person it's easy to explain -- you just have the character think out loud. The main thing is that the thinking contains emotion and tension. E.g.
I sensed that our relationship was changing. Karbo was leaving us. It was because of what my syster had told hym last night. I wondered if Thrynn guessed yet. And would our own tenderness survive hys departure? Had hy found another triad? Or -- would hy take Thrynn with hym? The thought made my stomachs run cold. Our triad had held together for a year and a half -- a record among our friends, and the best nine seasons of my life. All thanks to Thrynn -- hyr gentle speech, the sweep of hyr antenna, the sultry tones of hyr mating-rasp. I was sure we could find another Karbo but I didn't want to find another Thrynn.
In the example above, the world info is being salted into a decision -- how the narrator can keep Thrynn as a mating partner while Karbo goes. Another way to do it is to use the narrative as metaphor for something else. E.g.
From my lonely building perch I saw Thrynn leave the nightclub with Karbo and some other insent I didn't know. The familiar way they touched each other told me that they'd been a mating triad for two seasons or more. They must have rasped up while I was gone. I wondered how many spawnings they'd had... how many of their tads were now leaping through the warm waves.
I looked down at the galls studding my exoskeleton. There was no way of removing them. The wasp's egg-cement was harder than the concrete I clung to. I'd have weeks before they'd hatch beneath my armour and start devouring my entrails, just as they'd done with my crewmates.
But for an engine failure, it should have been me down there with Thrynn and Karbo.
In the second example the breeding info is metaphor for the narrator's bitterness. What keeps us reading is the emotion behind the words, the tension within the character. The world info comes along for the ride.
Hope that helps.