About your blackheads problem,
I know how blackheads can be irritating and specially blackheads on nose.
I found some simple and good home remedies to try with your blackheads.
1) Cinnamon and lemon juice can work wonders. Mix these two and apply it on your nose; wash away the same with warm water. This is sure to exfoliate the skin and also remove the existing blackheads.
2) Toothpaste is a modern home remedy to remove blackheads on nose. Just need to apply a little toothpaste over the blackhead affected area and believe me it works!
3) Orange peel is also a good treatment for blackheads. Just mix orange peel with water and then apply the same over your nose. Well, you must be careful about the use of citric fruits as they contain acid and that is the reason why one can use the lighter natural extracts.
I did not try them my self but I think one of them will do good with your skin, Just try them and be Patient.
You can try them to get rid of your blackheads on nose or face or any part of your body they are all natural and will not make you any harm.
There are a lot of products that you can buy to get rid of your blackheads, and it can be easier to use, but be sure that these products are natural and have a good reputation before you buy it.
You can check some other home remedies and info about blackheads here
Hope that helps, have a nice day