I would recommend something like the Google Nest Cam:
https://nest.com/camera/meet-nest-cam/
There are a lot of devices like it, so you have choices. This one in particular can do things like automatically store video and audio based off motion and/or sound and only alert you if you are not home (your choice...you can link it to your phone for location services).
The nice thing about this one is that it stores directly to the cloud, so if someone breaks into your home, they can't remove the memory stick to take the evidence like they could with some devices.
A subscription for cloud storage is $100/year...perhaps worth the cost if you think it might help in theft recovery, but that's up to the individual to decide.
You can buy a three-pack of cameras of you want to focus on various locations.
It's easy setup...less than 10 minutes.
Cheers,
Steve