HI!!
There are a few of us here, so hopefully we can be of some help

In our case, there is a cleft lip/palate team at our local children's hospital that is very good, so we didn't have to travel. There is also a craniofacial team at the children's hospital in the next major city that is ranked very high nationally (#3 I think) so we knew that we could go there if we needed to (and we do go there for some other specialists).
My son is a bit unusual in that his lip was intact, but was "tethered" to his gum by five frenulums. A single lip frenulum in the middle is seen semi-often, but he had 5 frenulums, so he had no movement of his upper lip, was unable to flare it to latch on for nursing (or bottle feeding, for that matter).
His palate is also unusual...his hard palate is intact, but is very high arched and narrow. His soft palate is clefted, but the cleft is submucous (under the skin) so it isn't visible. We suspected it because milk came out of his nose when he tried to swallow, so we knew something was wrong with his palate either structurally or functionally. Soft palate issues are harder to diagnose, so we still (at nearly age 3) don't know the extent of the issue or how/when it will be corrected.
He also had Pierre Robin Sequence, which is where his lower jaw was small and recessed, which caused breathing issues, swallowing issues, more latch issues, etc.
SO...the first few months were difficult! We managed to breastfeed, with a LOT of help from several different lactation consultants. I had two local LCs helping me and three other LCs were helping via email and webcam. I also had the help of Dr Palmer (a well-known dentist who studies breastfeeding issues related to oral development) via pictures shared over email. We tried the Haberman bottle, but his particular anatomy didn't work with the Haberman. It might work for you guys, so make sure you have it available before birth (and know how to use it, it can be a little complicated). We did have to do dropper feeds a few times when he got really lethargic as a young infant.
I'd recommend that you have a really good pump available just in case your little one can't get on the breast right away. We managed to avoid all supplementation, but that was a constant battle with his drs who wanted me to give him "just a little" formula. I stuck to my guns, but it was hard.
In my son's case, his palate and other issues were indicative of an underlying syndrome. There was a geneticist on the cleft palate team that eventually diagnosed the syndrome (it took three visits before the right tests were ordered, he was 11 months old when we found out he had 22q)
I have a crying baby, but I'll be back to type more later.
Congratulations on your baby boy!!!!