...I would built a big fiberglass flying saucer.
First I'd make it look like it crashed in the yard, and then I'd move in a day or two later.
On Halloween I'd dress up as a MIB and suspiciously claim it's nothing but a decoration, then in November I'd cover it with a camouflage tarp that does nothing to conceal what it is and leave it jacked up in the driveway with coils and stuff underneath like it's being worked on.
For December, I'd stick it on the roof with red and green garland stuck to it and some of those corny light-up reindeer in front.
I'd put it in storage on Christmas Eve, then sneak it back in the morning.
Every time I went out for more than a day or two I'd stick it in storage, and the rest of the time I'd teach Kero to use it for a dog house, and maybe put in a touch pad so lights would turn on whenever he's in it.
Occasionally I'd make it crash into a tree, or perhaps demolish a small section of my fence(depending on how easily I can replace/repair said fence). Once in a while, I'd arrange to stick it in someone else's yard in a prominent part of town.
I would be certain to talk to Kero like a person in the yard once he masters his head shaking commands, particularly if I notice any neighbors discreetly watching.
Also, I would sometimes I would leave bizarre pieces of machinery lying around.
Most importantly, I would only move the saucer at weird hours of the morning when no one's watching.
That is what I would do if I lived in a house.