how do i bring the doll home
It works a lot like purchasing/capturing normal slaves and moving them to a slave room in the mansion.
Once you have gotten permission from Lilaya and purchased the Doll, go to an empty room and add a Doll Closet.
Now you can go to slave management (manage people) and move the Doll to that room.
Honestly, the Dolls are not really worth it. Unless you want a generic female doll, you can spend something like 250k flames, plus 1 million flames for the special box to transform them.
I can buy a futa centaur demon from the slave market for that, have a ton of money left over, and achieve the exact same result.
Intercourse with your family members is painfully slow, including Lilaya. One scene needs at least thirty secs to switch to another, if not even more, and if that family member is a demon hybrid.... it takes almost ten irl minutes to finish, with everyone satisfied. Sex with slaves is fine, but slave and a family member is still very slow.
The quick sex button is your friend in those situations.
Once you have had your fun and gotten your rocks off once or twice, go to the first tab and click the quick sex button and it will finish the scene for you. The button might be on 'Page 2' of that first tab, so click the arrow on the right side and all the other options should appear.