It all depends on how much you have to spend, better quality will definitely last a bit longer and work better. Top names would include Black Diamond, Petzl, DMM, Wild Country, Mammut to name a few.
However if youre on a budget then buying cheaper makes a huge amount of sense. Rather save the money and spend it on road trips instead. Having fancy gear wont make you a better climber, climbing at lots of different locations will. Names such as Faders, Rocca, Trango etc can save you a bundle if you are kitting out for the first time. Things not to skimp on would be the harness and your belay device and locking biner. Get the most comfortable harness for your body shape and size. Try them all on and hang in them. A good belay device will work smoothly and a strong biner will give you peace of mind.