Can I deduct medical expenses for donor egg retrieval, IVF, and gestational surrogate costs? I have underlying medical conditions that required these methods.

[Rainman12]

Fertility, Yes; Surrogate, no. Per IRS Pub 502: 

"You can include in medical expenses the cost of the following procedures to overcome an inability to have children.

• Procedures such as in vitro fertilization (including temporary storage of eggs or sperm).

• Surgery, including an operation to reverse prior surgery that prevented the person operated on from having children.

• https://www.irs.gov/publications/p502 
  

[DanielV01]

Most of them are  deductible.  The expenses on you yourself are deductible.  Please see this document:  https://www.irs.gov/pub/irs-wd/0318017.pdf