Plastic Free Coffee Solution -- with some requirements

We recently came up with this solution to help wean us of our automatic drip maker, and it's working well so I thought I'd share.
The requirements were:
1) No plastic touching coffee/water
2) Not a super slow process or something that requires a lot of babysitting (we have a toddler, mornings are crazy)
3) Ability to use our own filters, ideally

I have a french press I used to use in my former office life, but I prefer the taste of filtered coffee and there are some health benefits to filtering coffee that are important to me. We also have a chemex which we've used in the past, but I dislike having to buy proprietary filters, and the process is really, really slow.

So we combined the two!

We boiler water in a tea kettle (we have a stove with a fast burner, so this is fairly quick). We pour grounds into the french press (which is a la cafatiere, and doesn't have plastic pieces inside like the bodums do). We slightly depress the filter on the french press to push the grounds into the water and let it steep for four minutes, then push it all the way down and pour the french press'd coffee into the Chemex to filter it further. This goes fast because you're not dealing with the grounds here.

One trick we needed was in order to use regular filters here, we had to buy this gadget to hold the filter in place: https://www.naturitas.us/p/home/home-and-kitchen/kitchen-utensils-and-appliances/support-for-coffee-filter-pour-over-l-1-unit-trendglas. I also found I preferred the taste of using two filters, and having both provides insurance against the filter ripping from the weight of having more water sit on the filter.

It tastes really great and it's a pretty fast process with minimal tending.

Hi Jessica - what filter do you use for the second stage? I didn't follow why the second glass funnel is required.
Have you found a fine enough reusable filter, or have you a source of good paper filters?

Don't you want to use espresso stovetop maker? I have Stella - they have stainless filter that you just clean after the use. They are made from stainless steel and have gorgeous Italian design in various shapes and sizes. The only consumable is the rubber seal that I needed to change after three years.

A few months ago I bought a Vietnamese coffee maker, it is metal, without plastic or paper filters, it is a drip coffee maker and I am very happy with it.