Does anyone have good tips on how to get rid of blackheads?

Just some basic things about my skin - I've had blackheads on my nose, and only my nose, for as long as I could remember. I never had acne (except for the brief time I spent on OrthoTricycel Lo. Ugh) and I have combination skin, so my T-zone is a bit oily and my cheeks are normal/very, very slightly dry. I use Cetaphil Gentle Cleanser to wash my face and some Garnier lotion with SPF as a moisturizer. Pore strips do not work to get rid of my blackheads, and if I use any face wash/cream for blackheads or acne it makes my skin hella dry which actually causes it to break out. Yes, my skin being dry makes me break out, it's weird. Toners also don't work. The only thing that works, as awful as it is, is if I push the blackheads out with my fingers. I don't know what else to try and I've been dealing with this stupid blackheads for like 10 years already.

Any Jezzies know of things that'll get rid of the blackheads without drying my skin out? My skin is also a little sensitive so it can't be anything too strong (though if it's strong and it works I'll just suck it up and moisturize more if need be).