Hey!
Where can I get some kind of free DNS server which I can point to my IP adress and I can enter into my eNom setting, so I can host my site from my comp?
well, there's always zoneedit.com. Their service will allow you use their DNS servers, and they will point to your home server whether the IP is static or dynamically assigned.
Or nose around at http://www.MyDomain.com - offering some of the best FREE services on the net. Until we grew into our own servers, we used them for several hundred sites by "stealth" -ing the domains to ONE hosting account that held the folder for each site.
Change your domain to their nameservers, then 'stealth' the URL to your site files.
Although this can be done through enom (they call it masking) it would eliminate the 2nd IP problem.