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
What Steve said . . .
The technology has gotten pretty good and the setup and ongoing costs are very reasonable. They can be used indoors and outdoors. You could even point one directly at your mailbox. It provides particular peace of mind when I'm away. Not only do they record all motion but individual cameras can be coded to send an email immediately upon detecting (recording) motion -- and you can play it back immediately from your phone. I use Foscam and the monthly cost is less than $10.
Scott