X There are no bicycle parking lots in our building. Further to the west of our building, there will be a bicycle parking lot of Tachikawa municipal management.
There are several mistakes here. First of all, no one would expect to find a bicycle parking lot IN the building!
Secondly, “there will be” implies the future. It seems to mean that a bicycle parking lot will be built in the future, but is not there now.
Finally, rather than “of… management”, it would be better to say “under”.
O Our building has no bicycle parking lots. To the west of our building there is a bicycle parking lot under the management of the city of Tachikawa.