It all comes down to cost and convenience. A proper tong tester is the safest and most convenient, but you may not like paying perhaps $100.00 or a great deal more than that, for something you will rarely ever use,
With one of these, you press the yellow trigger on the side, and the two yellow jaws (tongs) open up. You just close the jaws around the outside of a single wire carrying the ac current, and take a reading. It is the safest way, as the instrument works off the magnetic field around the wire, there being no need to connect anything to exposed high voltages.
A shunt is the ultra low cost way, assuming you already have a digital multimeter that measures millivolts.
Yet another way would be to buy an ac panel meter, either cheap and nasty like this one.
Or a proper professional quality analog ac panel meter:
There are some vintage ac amp meters that turn up occasionally, often at very reasonable cost. These are precision instruments, despite their age and appearance, they are usually extremely accurate and reliable, and should not be dispised. I have several ancient instruments like this myself, some going back to the 1930's and they still work perfectly. In their day they were fantastically expensive, and built to the very highest quality.
Plenty of different ways to go about measuring ac motor current, and it need not cost a fortune.