Age 20, areola reduction in Houston, Texas? (photos)

Thank you for your question.
Areola correction is a local anaesthetic procedure unless it’s combined with a more complex breast surgery that requires a general anaesthetic. Prior to surgery our plastic surgeons will assess you and your desire to achieve the look, shape, size and symmetry of what you are looking for.
On the day of your surgery our cosmetic surgeon will measure your breast height and various distances from your areola as well as the diameter of each. We make marks on your breasts while you are sitting upright and then numb the area with small amount of local anaesthetic.
Extra areola skin can be removed to achieve the desired look and position. The scars are very fine and heal quickly and fade over time. In some people the scar can be touched up with medical tattooing to hide the visible signs of a surgical scar.
Simple dressing is then applied before you are discharged from the clinic. You can resume daily showers and are expected to see your plastic surgeon in a week to check the wound.
Please make sure you find a reputable and qualified plastic surgeon who can assess you properly to give you a realistic idea of what outcome you can achieve.
All The Best 

From the photos it appears you are a better candidate for a breast lift. This would raise the position of the nipple, remove excess skin, and downsize the areola. Because of the degree of ptosis (sagging) an areola reduction alone would not likely give you a good result. I welcome you to visit us in our Houston office to learn more about the procedure. You can visit my website to see before and after photos as well!

This can be done simply as an areola reduction, which would take an hour or so in the OR, or be done via a breast reduction, if that's the type of surgery you're going for.  If you're ok with breast size, then stick with just the areola reduction.  Cost would depend on rates of facilities and anesthesia per hour, but generally for me about 2k.