L.L.
I'm using some sort of Garnier facial cleanser right now...comes in a bright green bottle, and has a rubbery scrub brush attached to the lid. It works well, but I'm sure any cleanser combined with an exfoliating type brush would do the same. For moisturizing, I use Pond's. Also using some L'Oreal age serum occasionally.
When you said "it is like the pores on my nose have swallowed up the make-up"....well, you said it right! I never, EVER wear makeup, and I am proud to say that I have very nice skin...and I attribute it to the fact that I am not clogging my pores with makeup. Could you be super brave and try going without it? I promise, you will see improvement within days.
Instead of makeup in the morning, use the Pond's...it gives your skin a nice, even tone. Just a little dab is enough!
(Also, not knocking makeup...everyone looks so pretty wearing it, but I hear some crazy stories about what it does to your skin and just think it's so much easier to go without it!)