Our adoption was a public adoption and we are fortunate to live in a city with the most progressive Children's Aid Society (CAS) in our country. They've been actively recruiting queer and trans families for over 10 years now. About 1/3 of the 90+ kids adopted each year are placed with LGBTQ parents! It's not that way across the country and I've heard some horror stories. We're two women, and basically with our CAS, if you've done your work there's a strong likelihood of a match.
Adoption was an absolute emotional roller coaster and very much similar to TTC. It took us 9 months from the time we were matched with our kids for them to come home to us. Our adoption was on and off again several times throughout those 9 months. I used to blog and have written about some of it here - heck I don't even remember what I wrote now, but if you're interested, maybe some of it will be of value to you. I also have something else that I'll PM you about.
Since our kids were already crown wards at the time of adoption, we didn't have any legal issues to worry about. Most of our challenges were around negotiating our relationship with our social worker, the foster parents and the kids themselves during the match and transition period. We also adopted older kids who we wanted to very much have a say in choosing their forever family. Then, once they moved in, we began the hard work of parenting and dealing with many of our kids' issues. While this not likely your case, to contextualize issues kids who've been adopted through CAS may face, I always remind people that kids don't simply end up in foster care. There's a really good reason why they're there. We've dealt with attachment, behavioural and learning disabilities in addition to the emotional work our kids needed to do (and still need to do).
The biggest piece of advice I have for prospective parents is to make sure you have a support network in place and I also like to flag for prospective parents to be on the look out for post-adoption depression. I suffered from it, and at the time, it was only starting to be talked about and there was very little research out there.