Handyman work, including kitchen fitting, bathrooms and general maintenance
As others have said, I think you need to carefully read up on how tradesmen operate in France (which, again as said, means either having good enough French language skills so you can understand the official websites, or be at the mercy of what other people tell you when you arrive, which might be right or might be wrong).
The main point here is that you decide what exactly activities you are going to do and you register for that/those specific activity code(s). You can't do any work other than the activities you have registered for. The system isn't designed to let you be a jack of all trades.
Handyman work very definitely does not include kitchen fitting and bathrooms. If you register as a handyman you're very limited what you can do. As I recall the rule is that you are restricted to small jobs that take no longer than one hour to complete and require no specific skills. I don't think you could fit a kitchen or a bathroom in one hour.
If you want to take on bigger jobs, you need to prove your qualifications/experience and take out the appropriate insurances. What insurance is needed, will depend on your activities. Most folk specialise in one activity so that they only need to pay for one lot of insurance - registering for 3 or 4 trades would likely mean paying out several thousand € per year in insurance before you earn a cent, makes no sense for a one man band on the simplified micro regime where you can't offset expenses and overheads.
Hopefully you have other strings to your bows because I'm not sure how realistic it is to hope to support a family of 4 by doing odd jobs for the expat community in Eymet. I suspect there are already plenty of Brits trying to scratch a living doing exactly that.
As to what it's like living in Eymet - well it's a a marmite place isn't it. People sometimes refer to it as Little England, and either you love being surrounded by other Brits or you hate it.