Ok. You didn't mention whether you'd prefer a DMM or clamp meter, but I'll assume you want the convenience of a clamp for now. I would recommend looking at brands that design and manufacture their own units and don't just rebrand someone else's stuff. I'm not saying that a rebranded unit won't do the job, but I've run into issues when dealing with these companies when it comes to tech support since they don't usually have experts in-house.
One of the big limitations I've noticed among clamp meters is the resistance range. Many of them top out at 4k or 10k Ohms for some unknown reason. This isn't a problem for basic continuity testing or troubleshooting, but there are times when you might need more range than that, floor heat sensors being one example (8k-12k Ohms). Even the Flukes only go up to 6k Ohms. Only you know whether that's important or not for what you do.
Some are AC amps only, others are AC/DC amps capable. Again, only you know what you need. You will pay more for AC/DC amps capability, and ACA accuracy is affected to some degree with sensors capable of reading DCA.
A few of the main brands that design and manufacture:
AEMC, Amprobe and Fluke (they both belong to Danaher), Hioki, Keysight (was HP/Agilent).
Here are links to a few models I consider interesting:
These two clamps are obviously off the same assembly line, but the Yokogawa offers power measurements in addition to voltage and current.
http://www.tequipment.net/AmprobeACDC-52NAV.asp
http://www.tequipment.net/YokogawaCW10.html
AEMC offers good bang for your buck:
http://www.tequipment.net/AEMC503.html
http://www.tequipment.net/AEMC511.html
http://www.tequipment.net/AEMC512.html
http://www.tequipment.net/AEMC/514/Clamp-Meters/
http://www.tequipment.net/AEMC670.html
http://www.tequipment.net/AEMC675.html
The lower priced models max out the resistance reading at 4000 Ohms, the higher end ones go up to 10,000 Ohms.
Hioki makes a rugged, accurate tool. They don't sell bells and whistles

I have a 3282 as my everyday clamp and I'm happy with it. It also measures up to 10k Ohms. The 3288-20 can do up to 40 Megaohms.
http://www.tequipment.net/Hioki3288-20.html
http://www.tequipment.net/Hioki3282.html
Agilent/Keysight has two lines of clamps, a lower priced line and a higher price one. The higher priced line allows you to use Bluetooth modules (attached to the back of the meter) to do remote monitoring of the readings. I own a U1211A. For my taste, it's too large to carry around all the time, but it's very accurate and the Bluetooth makes it invaluable for certain things. It's also the most expensive of the clamps I've listed.
http://www.tequipment.net/Agilent/U1212A/?b=y&v=7661
Fluke is the go-to brand for a lot of guys. They are rugged and accurate. Many models are now made in China but that doesn't seem to be affecting quality.
http://www.tequipment.net/Fluke375.html
http://www.tequipment.net/Fluke325.html
As you can see, the 325 and 375 are SO popular they don't even bother to tell you how much they cost. I've even heard you can get them for free by going down to
www.thecrossroads.com and entering coupon code LEGBA6