I spoke to many travelers, and the worst places are Chili and Brazil. Ecuador may or may not worse than those countries anyway.
What a holiday / trip for: seeing new places / cultures; or getting more stress?
If I'm worry about my personal safety, then I wouldn't go; full stop.
If I'm worry my gear, then I take a P&S.
Just google "quito ecuador travel safety" and I get some results:
You WILL get robbed
Having traveled extensively through Central and South America, here is my summation of Quito:
In many Latin American cities, including busy capitals, it is POSSIBLE that you CAN get robbed. In Quito, it is PROBABLE that you WILL be robbed, within your first three days.
I am by no means a naive or inexperienced traveler and I understand there is danger all over the world, but Quito is the capital of robbery scams and teams working together. It will happen THAT fast no matter how careful you are and I guarantee if you ask 6 people who have been to Quito, 5 of them would have first hand accounts of theft. Not rumors or hearsay, but first hand experience.
This post is not mean to incite fear, but to call for action. As a tourist, your most powerful tool is to decide where you spend your money. In my opinion, there is nothing worth seeing enough in Quito to risk the 99 percent chance of being robbed. The only way to voice your need for security is to stop spending money in places that don't take safety seriously.
I have been in many big cities all over the world and have never felt as constantly paranoid about being robbed, and I have been robbed in Quito despite all the warnings and despite taking every precaution. The thieves here are good. A minor bump, a small distraction and it's all gone. You live like a caged bird as it is unsafe to take your laptop, phone, camera outside----not even to walk from your hotel to a coffee shop.
Go spend your money elsewhere and maybe the drain of tourism dollars will eventually hurt enough for people to do something about the theft problem here.
Is It Safe for Americans to Travel to Quito Ecuador?
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