I have over 11 years of marketing experience developing marketing campaigns with big brands like Verizon Wireless and Qualcomm, 6 years of event production experience and over 11 years as an entrepreneur and small business coach. 

If you're worried about thieves who target unoccupied properties, get a cheap wireless alarm that can be moved later i.e.

I put in a few wireless light switches because despite the previous renovators going cray cray with the outlets and electrical wiring, they didn't bother making 3 way switches where a few three way switches would have made sense, like the stairways.

I provide "free" wireless for my tenants. this way my security system etc are all on the  wireless and my tenants can use it too and I can charge a bit more for rent. :)

In fact, the properties on either side of the house are commercial - one a house that was converted to a nursery school some years ago, and on the other side, a former gas station that is now major wireless carrier's cell phone store. 

There are two power systems, battery operated or hard wired, which allow the meter to communicate with a wireless router that sends the data to a database at the company (this is accessable to you the owner/property manager via the web) and then a bill is sent to the tenants automatically at a interval that you set.

For those interested, https://submetersolutions.com/ has a package of wired or wireless hardware and service.

Or maybe put a wireless stat in the house so I can adjust as needed remotely?

You can record a video walkthrough of a property with your phone, wirelessly send it to your Mac, and have an edited video walkthrough with subtitles in less time than it takes you to create your listing.

Use a wireless router that has a secure network for you and a guest network for tenants and provide it as an included utility.Another option is to place trail cams on the front/back entrances.