Some parts, like headsets, take a range of possible tools. Some of these tools are specifically designed for bikes, some not.

Again with headsets- Many threaded types need an open wrench version in either 36mm or 32mm, neither are common tools found in general hardware retailers as the thickness of the wrenches are far less then common house hold tools. But sometimes a slip joint pliers or a large (12" or 15") adjustable wrench can work. But for threadless headsets simple "L" hex wrenches do just fine and these are widely available.

So to with cup and cone hubs. Thin open end wrenches are typically needed for working the cone (and sometimes the lock nut too). We call these tools cone wrenches and are not usually found outside of the bike world.

If you have access to a grinder one can thin down common open wrenches and fit pedals more easily.

I suggest making a list of the tools needed for working on the aspects of your bike you want to do then go to the common tool place and get what you can from them that is on that list. Andy