I've had both of these, they are both great:
https://smile.amazon.com/Bonavita-One-Touch-Featuring-Therma...
https://smile.amazon.com/OXO-Barista-Brain-Coffee-Maker/dp/B...
Combine one of the above with a burr grinder for freshly ground coffee, and use filtered water, and you've got the best home coffee with least effort.
Personally, I have an espresso machine, which is by far the way I prefer coffee, but the machine (+ grinder) is expensive and it gives you a new hobby.
Really, it is all up to you, there is no bad answer. The French press is a perfectly good brewing method, so is drip, and many others: moka pot, Aeropress, etc...
French press doesn't really have a machine equivalent that I can think of though, it's sort of in its own category of coffee.
IMO a good burr grinder is good to have no matter how you make your coffee. If you don't already buy whole beans they're much fresher, and if you do but use a blade grinder the burr grinders do a better more consistent job at it.
Edit: Meant to add, actually the entire flow including steaming the milk is faster and less messy than the AeroPress too.
[0] https://www.sageappliances.com/uk/en/products/espresso/bes87...
When it's not making coffee, it doubles as a very therapeutic thing to clean and maintain for a couple of hours every couple of months.
I’ve noticed a few responses to my post mentioning drip coffee machines - the one I have steams milk, makes lattes etc