In this circuit the current will be the same no matter where the circuit is broken. If 1 amp is flowing then all meters will indicate 1 amp.

Observe the polarity of the leads when measuring DC
This is not necessary when measuring AC.

Select a high current range on the meter before switching the circuit on.
Switch down to a lower range if necessary to measure the current.
This protects the meter from damage due to excessive current, especially a moving coil one.