Just make sure who ever does the french drain lines places the perforated side down. I know it doesnt make immediate sense, but that is the correct way to install them.
I do think you will see some success with your idea, but at a large expense. It is near impossible to keep a basement entirely dry. Have you considered putting in a sump pump with a float switch instead, much cheaper.
I really don't have major water problems....And I know there are pros and cons to doing it from the inside or outside. In my case, my basement is mostly finished off, and it's pretty clear sailing from outdoors. A single sump won't help much as it's a fairly large foundation, 28' x 49', unless I cut the concrete floor and add piping in there. And oh the mess of doing it from inside!!
I did know the perforated side goes down, but thank you...a lot of people make that mistake....I have done French drains before, and I have been researching watching lots of YouTube videos. I used that black corrugated pipe before, but that stuff can crush, so for this I will probably use schedule 40 or SDR35 pipe. I'll also add a riser or 2 so that if the system does plug in the future, it can be cleaned out. And I'll do a burrito wrap around the pipe and gravel to keep it clean longer. I'd also like to run a second buried line in the same ditch, up closer to ground level, and connect all my downspouts, so I can divert all that water way away from the foundation. It will be a big job either way.
I should just move and downsize, but I can probably manage a few more years here.