I don't bother with local places unless I know for sure they will have what I need, which is not as often as I would like. It's much easier, faster, costs less in gas, not to mention frustration, to find a part number myself and buy the part online.
The hard part is diagnosing the problem and having the skills and tools to do the repair.
I've found parts for my 30+ year old oven on ebay, parts for an ancient riding lawn mower several states away, garage door parts a few towns over, etc. Even Amazon has listed some obscure stuff I needed in a pinch.
The days of driving all over town for parts are long gone.