To use an LCR meter over a broad range of components and values requires some understanding of the measurement principles if one expects reasonable accuracy.
The low cost all-in-one component devices utilize a pulse technique whereas the more expensive lab type bench LCR meters utilize sine-wave measurement techniques (can explain if interested), the later usually better for accurate measurements, altho the all-in-one do a respectable job with most components.
Small inductors represent a low impedance at lower frequencies which limits the measurement capabilities, the LCR meters allow the frequency to be set and generally the higher the better for small inductors as the impedance is directly proportional to frequency (well below the self resonate frequency). Since these meters actually measure DUT voltage and current, a small inductor (low impedance) produces a low voltage and high current, thus difficult to measure accurately. The reverse is true for small capacitors (high impedance), low DUT current and high DUT voltage.
Many of the quality LCR meters have a table/graph which shows the component ranges, frequency and the accuracy "Sweet Spot" which should be consulted if one desires the most accurate results.
The mentioned DE-5000 handheld LCR meter is based upon a specialized chip-set which performs almost all the functions and measurements, keeping the cost reasonable. We have one and it has demonstrated good performance against our Lab Grade Tonghui TH2830 and Hioki IM3536 LCR meters.
We have and utilize all 3 meters, the IM3536 goes to 8MHz and why we have this, however it's expensive (~$4600), the TH2830 is 100KHz (~$1000) and high quality good value Lab Bench LCR meter, and the DE-5000 (~$200) for the general measurements.
Another thing one might consider is having a set of stable "Reference Components" to check. We have various resistors and capacitors, altho no inductors, we can compare. Precision stable resistors are abundant, however capacitors are more difficult to find. C0G/NP0 ceramic capacitors are good for low values, Mica & Polystyrene good more mid values, and Polypropylene for higher values.
Best,