The house needs to be Cube Root Rule and then needs independent redistricting or some form of PR.
There is no mention of campaign finance here and that is probably among the biggest problems we have.
I prefer "Cube Root Rule minus Senate" for size of House, since Cube Root Rule is supposed to be the ideal size of a legislature, not of a lower house. Assuming DC + PR statehood and keeping 2 Sens per State, so 104 Sens:
692 is cube root. 104 Senators, 588 House members.
No 23rd Amendment since DC Statehood, so 692 EVs, as well, if we're keeping Electoral College.
I like this way better than 692 + 104 = 796 EVs. 588 House Members is also much more manageable for actual House purposes: it's basically a 1/3rd increase in current size.