Buggy HUD, TF2 character models bugged and disappearing weapons.

Right OK, everything is ok but I want to play online with just a friend/friends who lives a few miles away, will LAN work?
The reason I wan’t to is I found this amazing weapon add-on and I want my friend to get it so we can maybe fight each other, or shoot NPCs and get them to record it etc.
Fairly recently I discovered with HL2 mods you generally can’t make servers from your home internet connection and connect to friends servers because I don’t think they have powerful servers or something… Well I think Dedicated server tools starts a server or something like that.

Please reply and help if you can