Hi,
I have the UNI-T UT61E and its an excellent multimeter for the price.
The only negatives I found are that it overshoots sometimes in the beginning of the measurement,
and that instead of having a safer A/mA/uA sequence, the switch starts from uA/mA/A... Apart from
that, excellent resolution, descent accuracy and very sturdy construction.
My suggestion is to buy a cheap one in the beginning and by working with it you will see exactly
what you really need from a multimeter. Then you will buy a higher quality one and with all
the features that you know you need. At the end of the day you will need at least two multimeters
anyway.