I did this once for friend of my Father’s. Ended up going to three different places and spending two hours before tracking a guy down at Frank’s Sunny Italy restaurant. I confirmed his identity by asking his name and then handed him the paperwork. He wasn’t happy.
It was an adrenalin rush for sure. If I were to do this professionally, which I wouldn’t, I would be carrying a registered firearm and possibly a bulletproof vest. You will have your life threatened at some point.
I’m pretty sure when your chances of getting shot are already high because of your job, it’s worth carrying a gun. That’s why police officers carry guns.
Technically, you would be called a process server. There are alot of legal rules that you have to follow when serving people and those that are being served can be super crafty if they know it is coming. Usually it is a rarity to even have to serve them in person because you can just mail the papers to an address and file a notice with the court that they have been served. Law firms or attorneys will hire people to serve papers if they need to effecuate service in a manner other than mail. You can google it. I am sure there will be more information but if you really want to be one, have fun with the Federal Rules of Civil Procedure.