I guess rent will be the one to go up in case of UBI.
UBI fundamentally does not solve the problems that:
a) some people do not want to live next to some other people, and are willing to pay extra for that privilege - now they have even more money to use for that purpose,
b) in the most expensive regions, demand exceeds supply a lot.
I even think that a vast majority of UBI would, at the end, accrue to landlords.