Depending on the facial technique being used, the exfoliation process can take place before, after, or during the steam. An exfoliation gel, cream, mask, peel, or gommage will usually be applied before or after the steam. These products need to be left on your face to treat blackheads.
As far as skin care I would always recommend sunscreen to prevent the skin damage from worsening. A Retinol or Retin-A to improve the texture of the skin and a Vitamin C to improve the tone. These are some staple products that should be in your skin care regimen. I suggest setting up a consultation to create a plan that best suits your needs.