Your models, you do you. If you’re happy, that’s the most important part.
If that happiness includes sharing your fluff with others, other people will run the spread between, “Cool man! Here’s my fluff!!!” To bored indifference, to the Loremaster pooping on everything you do.
My suggestions would be as follows to have as non-invasive background as possible.
Make them a recent founding. That’s why you’ve never heard of them, and why they haven’t been noted in the “canon” fluff. As a new chapter, they’ve been given small but increasingly important missions.
Explore their accomplishments, but anything more than defending / conquering a given world / outpost / space hulk is probably pushing it. Let your games inspire the heroic deeds. Even if you aren’t playing a Narrative game, keep some mental notes to describe how Sargeant Dudename heroically defended the critical supply depot, or how Chaplain Othername lead the charge that rescued the Planetary Governor.
Explore their setbacks. Maybe you don’t like using certain units, so they all got wiped out in the Seige of Thatplace. Or they suffered terrible losses at the Storming of Overthere. If they just win everything they are involved in, there’s no struggle and nothing to cheer for.
Have three or so “Named Characters” your fluff follows. Not just the Chapter Master but also a Sergeant, and a... Dreadnought? A tank Gunner? More than one point of view keeps it interesting.
When deciding between a big splash in the Galaxy or a small ripple, choose the ripple. Nobody wants to hear your heroic defeats of entire systems using only your trusty bolter... but the retaking of a forge-complex from some Chaos tainted Muties? Hallway by blood-splattered hallway? Yeah, that’s relatable.
Good luck!
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