Hypothyroid and infertility?

Grace
Just wondering if anyone has had infertility issues due to hypothyroid. 
I'm 27 and my DH and I have been TTC for 13 cycles. We just started the first rounds of diagnostic testing and my doctor said it could be my thyroid as hypothyroidism runs in my family. 
Basically I would like to hear if any of you ladies have had experience with this. Also, how long after starting hormones did you get your BFP? Thanks!