You will have to open ports in your router, which can be unsafe, you will.also need a fixed IP, which usually costs money, or another outside method of finding your IP, which usually costs money.
There are other methods, buy they cost much more money.
All methods open your home network to increased risk without increased security measures, which cost more money.
Watching at home on the same network merely involves you inputting the IP of your stb into your laptop.