Where do I go to get a zygote intra fallopian transfer done?

You Don't. No reputable program would offer this technique unless perhaps you were born without a vagina. This was once an option for clinics that demonstrated poor ivf results, but as knowledge improved this is simply a great way to experience ectopic pregnancies and multiple births for twice the cost of normal ivf.
Infertility. Most major cities will have infertility specialists who can do this. Location may vary. May be in a hospital, outpt surgery center but most commonly in a outpt clinic setting.