Amazing. Let me check it out.Does your public ip respnd to ping from the outside networks? If not, you might be port blocked by your isp. Even if you are port blocked, you could use a service like packetriot. Basically, you will first need to tunnel to a server. The server will receive the requests for the webcam and forward those to your local machine through the tunnel. Google packetriot for more info.
How much can such a task cost?Yes it is possible.
If you want to do that you need to write down tech task and hire someone to setup unmanaged VPS for you.
Everything depends on your goals and software you want or prefer to use.
I think for the first time you an create that by your own. No need to pay someone for that - just in your own words describe what you are looking for.How much can such a task cost?