I don't personally own an electric car, but I intend to purchase one in the near future, plus I'm quite familiar with the technology that makes them tick.
There's very little that can go wrong in an electric car - motors are generally hard to grind to death unless they're grossly overloaded, and motor load is normally controlled by the on-board.
The achilles heel of an electric vehicle is still, unfortunately, the battery banks - lithium cells are perishable, which is why I would advise against purchasing a used one unless it had been refurbished and you know for certain that the cells installed are new. The good ones will mitigate cell degradation to a large extent by purposefully not charging the battery banks up to the hilt or discharging them to the very bottom limit - the operating range of a Tesla for instance is 3V-4V as opposed to 2.6V-4.2V - this does affect your range greatly, but it also significantly increases the lifespan of the banks from a measly 500 charge cycles to many, many thousands - more than the average lifespan of a vehicle. There's a lot of interesting papers on that subject you can look into before making an educated purchase - range that seems too good to be true indicates that the charge circuit might be squeezing the batteries harder than they should be squeezed. Avoiding the maximum and minimum values as much as possible provides you with adequate capacity and prevents early retirement of the banks, which is costly.
As far as in-house charging is concerned, it's really no different than charging a grossly oversized phone. You might be tempted to invest in a fast charge solution, but I would generally avoid those as they "current/voltage bang" the cells on purpose in order to provide a fast top-up, temperature permitting. It's good as an optional feature used in a pinch, but the slow and steady overnight charge is always preferable.
In terms of danger when in an accident, a lot of it is mitigated in modern cells which feature safe failure modes such as venting, as opposed to exploding or combusting, as well as individual, per-cell fuses that burn out in an event of an internal short - these cars are very safe, even when compared to a traditional car which at the end of the day is a controlled-explosion-powered machine.
The one thing I would definitely avoid is extreme temperatures - you will have to be mindful of where you park and for how long. Lithium isn't keen on extreme heat or extreme cold, cells currently in circulation still use liquid electrolytes. This might seem like an odd consideration to have, but the *colour* of your vehicle will affect how hot or cold it gets, particularly in direct sunlight or in complete shade. Ideally you'd want to keep it in a garage, if you have one.
In terms of value for money the car will pay for itself - petrol is cheap, but electricity is cheaper, especially if your home has means of generating it via a solar panel installation. It's as close to driving for free as you can get, depending on where your electricity is coming from - beware of the "long tailpipe" effect.
Overall, tl;dr - consider the climate you're in, if buying used inspect the cell health, skip the cheap thrill of driving a black car for something more manageable, keep your available range in mind when planning out your trips, charge slow and steady. Good luck with your purchase! EV's are pretty neat, and there are some affordable options out there. If you're particularly worried about the possibility of having to drive long distance in one, look into hybrids - a motor working in conjunction with a combustion engine really reduces your fuel consumption as maintaining torque is easier than initial acceleration - on a long stretch the electric side will take over completely unless the load is very high.