Is it effective in removing blackheads?

I used to just ignore blackheads, but since I started wearing light makeup, I've noticed that my nose looks particularly dirty. Up close, I can see that the blackheads aren't all over the place, but rather scattered, which is even more bothersome. I'm starting to realize that getting rid of blackheads isn't as easy as I thought...

If I use a nose pack once in a while, it seems to clear up for a little while, but after a few days, it goes back to its original state. But I don't think it's good for my skin if I keep using it. Dissolving it doesn't have much effect, so I try to open my pores with steam and it doesn't get dramatically clearer. It's as irritating as a nose pack, so it's not great. After using it, my nose becomes red and looks like a strawberry nose, and the more I try to get rid of blackheads, the more concerned I become.

I'm leaning toward just not touching them right now, but I'm not sure if that's the right approach. If you know of any effective methods for removing blackheads, or at least tips for managing them without worrying about them, please let me know!