When I replaced my last meter, I chose one without high current measuring capability (it does read micro amps, which I use to troubleshoot ignition modules). I added
this Tenma AC/DC clamp, which will work if you have a millivolt range on your meter.
As a note- you can also test current by using the standard blade type fuses as a shunt- turn on the load, measure the voltage between the two side of the fuse (on the top). While I don't have the figures in front of me, fuses are a reasonably well calibrated resistance- different for each value. Often you can do this just to detect a load- if you see a voltage between the fuse legs, there is a draw on that circuit (or the fuse is blown :))