When our kids were around 6 they each got a small zippered too bag, a little claw hammer from Home Depot and one of those 4-in-1 screwdrivers (a small functional hammer is kinda hard to find these days). As they got older they would "earn" a new tool when we worked together on a project - tape measure, a variety of pliers, small socket set, bubble level, etc.
They're only 8 and 10 now, but are getting familiar with tools and can help out around the house. I wish they weren't so busy with school and friends - the best lessons I got from dad were often when I was hanging out with him fixing something in the house or garage.
I've always believed that using tools is sort of like a language - you can't just jump in and have a conversation without knowing a few words. When you put in enough practice and build a vocabulary, you can eventually carry on a conversation or write a story. After a few years you might even write a great novel or song.
We're surrounded by people who have no knowledge of tools. Even worse is when they don't respect the work that can be done with tools. This may sound weird, but there's something missing from these folks - its harder to communicate with them. They don't see how things interact, they don't stop to think how cause and effect works.
I don't expect my kids to become tradesmen or mechanics, but a basic understanding of electricity and mechanical things is a critical part of being an adult, and I'd be very disappointed grew up without that.
...getting off my soapbox now LOL