Code something to extract such a list of websites from my browsing history, and then find a way to upload that list to free archiving services (every month say). It could even be an extension eventually, so maybe I should program it in Javascript, and put it available for free on GitHub.
But none of the managed/service options that I have seen explicitly state a guarantee to keep all the data. And I do not think that the internet archive will migrate or emulate web content to make sure that current content format that is obsolete in the future is still accessible in the future.
Also it looks like most digital preservation efforts are targeted at saving general cultural information or information of organizations. And most solutions for organizations have a cost greater than CAD 1000 paid per year if they manage the data.
If I could start an organization for this, I would try to make sure to address those issues