You won't go wrong with Fluke, but I tend to see that as a mains-voltage thing, where going wrong has Consequences.
Some of the UNI-T meters are fantastic value. I've got one of their clamp meters that can read DC current with reasonable accuracy in the tens of milliamps, which is surprisingly useful. I woudn't want to poke its weedy little probes into mains stuff.
People seem to rate Brymen. The BM235 looks like a good all-rounder.
Having followed the design process, I took a punt on the
EEVBlog 122GW a couple of years back. It's a slightly quirky design with some unique features that make it a one-meter-to-rule-them-all for electronics hobbyists (15V diode range and inverse continuity mode are surprisingly useful). But it's not cheap, and the precision is overkill for most uses.
The important thing is a responsive continuity beeper. Some meters are too cheap to beep, which is pants. Some have an annoyingly low sample rate that makes the beeper latch in a way that makes it frustratingly useless when you're wiggling things to find the dodgy connection. One nifty Brymen feature is lighting the LCD backlight in time with the beep - great for use in noisy environments.
Meanwhile, if you haven't got one,
those ubiquitous eBay component testers with the ZIF socket are worth every penny as a quick and easy way of checking/identifying through-hole components. I use one as a Reasonable Adjustment LCR Meter™ for identifying resistors, as it's less faff than holding multimeter probes against the leads without providing a current path through your fingers.
