The Doctor loves the Tardis! But if you read beyond the obvious it is written live not love so it's telling us to live and it's exactly what the doctor does with the Tardis so in the end the right sentence is: The Doctor lives with The Tardis.
build your own TARDIS from scratch from wood. This is a great site, and even if you only want to build a small TARDIS from cardboard, the directions are invaluable. I want one, if only to put a reading chair in lol