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I did this recently. Are you wanting to know how to obtain a visa? Or the process for buying a home? What are your specific questions at this point in your process?

Retiring in France is relatively easy!
You apply for the "visiteur" visa, promising to not work, and showing that you have sufficient funds to live on (generally accepted as "SMIC" net, ie minimum wage). This becomes your residence permit (titre de séjour) when you register it in France. You have to renew this each year for at least 5 years before you can ask for a longer-term residence permit.
Within this first year, your driver's license is valid to use, but to continue to drive, you must either exchange it (if it's on the list), or pass the French test.
You file French taxes each year; how that works depends on where your income comes from, and the tax treaty France may have with that country.

Re taxes - the tax treaty between France and the US is very generous for US retirees. If all your income is US-sourced retirement income (pension, ss, IRAs...), then you pay tax on that first in the US. When you file French taxes, you get a credit equal to what you would have paid in France, so it zeros out.
This is not the same in many other countries, where you get a credit for taxes paid, then pay the difference.