There is really not a "best" multimeter, but simply one that suits your interests the best.
You didn't mention the brand of your other meter, but if you are working with very high power amplifier systems, the need for a safe multimeter is important. The best model (IMO) that fits your budget is the
BM867 and is specified up to 20kHz (just enough for Audio). This meter also measures capacitance, diodes, etc.
However, if you repair Hi-Fi equipment and regularly needs to verify the health of capacitors, inductors, etc. you may be better served by a portable LCR meter such as the very high quality
DER EE DE-5000 (this has to be purchased via eBay, though).
This second alternative eats away a good part of your budget, but still leaving some room for the purchase of a safe
BM235 (also
Dave's version, on sale at the moment) or, if you really want to stretch the budget, move to a more featured
BM257.
Also i looked into UniT multimeters, but after few hours of searching i decided to stay away off them - they are manufactured very poorly internally.
Not everything from Uni-T is bad, really. For example, folks here like the
UT-139C which is a great meter to complement the LCR that I mentioned before. Also, the
UT-210E is a well built choice if you need to measure very high currents using a clamp.