Nykevins, the line splitter "plugs-in" in series with the power strip. In other words, you can plug the line splitter into the wall outlet and then plug the power strip into the other side of the line splitter. You then use the power strip as usual with everything plugged in.
Like I said in my previous post, you can also clamp the amp meter around the wire where it emerges in the panel and terminates at a breaker. However, if anything else is on the same circuit (other than the power strip) you will also be measuring that current.
I suggest you purchase the line splitter since they are cheap, easy to use, and (most importantly) safe. It may not seem feasible for this one use but once you have it, countless future readings can more easily and readily be made.
If the equipment can NEVER (24/7) be unplugged even for a few seconds, then the amperage readings will have to be made at the panel. Since you are not even familiar with the simple use of an amp meter then your "boss?" should not be asking you to make this measurement. On the other hand, assuming you are injured and survive the experience, you will most definitely be a VERY rich man. Having an employee perform a potentially dangerous task that he/she knows they are not qualified to do will be very solid grounds for a lawsuit!