I'm worried because I keep getting blackheads on my nose.

Lately, the blackheads around my nose have been really noticeable and bothering me. They look okay for a while after washing my face, but they seem to pop back black after a day or two. I've tried cleansing products and nose strips at home, but I don't feel like there's been much of a difference; in fact, they seem to just irritate the skin. So, I'm thinking of getting professional treatment at a dermatology clinic. I'm wondering if there is a specific treatment available to manage blackheads in this case. It also seems like my pores have enlarged, making them look worse, so I'd like to know if I need to treat both the blackheads and the pores together. I'm curious about the typical management methods used at dermatology clinics and how many sessions are required to see noticeable improvement. I'm also worried that extracting them might enlarge my pores; would that be okay?