Warning: What follows is the Trip to Bespin story no one asked for: one in which no sex takes place. If that's not your cup of tea that's perfectly fine, but I wanted to prepare readers at the outset to avoid disappointment.
That is not to say they won't explore physicality. This story is rated M for that reason: sexual discussions that will occur, activities of a sexual nature they will be engaging in over time, adult language (of an English and GFFA variety), and their eventual consummation in post-Return of the Jedi epilogues.
A few more warnings going in:
(1) In this story, Leia is a virgin. This is not a judgement on anyone else's 'Leia is not a virgin' take on things. My headcanon of this is due to her life circumstances and her personal priorities, something Leia herself will explain. Just know that 'Leia is a virgin' is not out of a desire to make any kind of statement.
(2) The Han and Leia we see in Bespin during the "you're as good as gone" exchange, as well as the fact that she hasn't yet told him she loves him, reveals a pair that is together but still in clear conflict over their future. That whole exchange, from the way it was said to their expressions, suggests to me this has been a repeated issue between them on the trip; this is certainly not the first time this disagreement is coming up. That will be a key theme of this story. It will be explored throughout, including Leia struggling with the ramifications of her decision to hold something of herself back in the post-carbonite chamber chapters.
(3) For a story set largely on the Millennium Falcon, here is my disclaimer: I frankly don't care what any of the "official" charts and diagrams for the unseen in the OT portions of the Falcon are. In my headcanon: (a) somewhere on that ship there is a galley; (b) as is his preference, Chewie sleeps in a hammock hung across one of the holds, alongside his own Wookiee-sized and properly modified fresher (the Falcon once was Lando's, and what are the odds that such an entertainer would only have one bathroom aboard his ship anyway?); (c) there is a small two-bunk crew quarters that leads into the captain's quarters, with a door in between (Lando would absolutely value his privacy, especially when bringing a romantic partner on board), and an attached private captain's fresher complete with real water shower, not merely sonic (again, because Lando would have believed in luxuries).
On with the story!