Interesting Times (Interesting Times #1)

ASIN B00BGX9YVG moved to the most recent edition here

Oliver Jones was a dull man living a dull life, until one night a stray cat began speaking to him. In English. And that was before things got really strange. Now he is on the run, hunted by an inhuman assassin who will stop at nothing to kill him. His only hope for survival rests with a trio of unlikely new allies: A werewolf with a fondness for Hawaiian shirts, a strange little girl who just might be immortal, and a gunfighter with an anger management problem. Oliver always wanted a little excitement in his life, but now he finds himself living in Interesting Times...

From the Back Cover:

"You see that house?" Tyler pointed at the building they had just left. "It exists at a single fixed point in time. From its perspective the outside world never moves and never changes. So we use it as a safe house. It's a great place to hide for a while."

"A fixed point in time?" Oliver asked. "So...is this the past? Or the future?" Oliver was beginning to think he'd need a physics textbook to understand all of this. Or possibly some LSD.