Make it hierarchical. Every 50-100 people in their little community elect a leader. Then, all those leaders get together into groups of 50-100 and elect a leader of that group. And then, all the leaders of those groups, et cetera you get the idea.
Do away with this concept where people are voting for random dickheads in faraway lands who will never interact with them, they have no daily concept of and no familiarity with, and there is this weird middleman involved of a distant organization that is deciding who out of hundreds of millions of potential candidates are the 2-3 that are permitted to be on the ballot of us to vote for. Do away with the team sports aspect where people are coalesced into artificial groupings with colors assigned to them and then the default is for them to vote for whoever's got the right color attached to them.
Obviously it doesn't mean that whoever's at the very top of the pile gets unquestioned power. You could have it as a sort of parliamentary system, where the top person carries executive power and then ones below them (or maybe 2 levels down) are the parliament or legislative branch. And then the courts are just separate from that, similar to today.
Maybe make it so that anyone who can gather 50 votes can be in the L1 grouping. So you can choose to organize yourselves into little communities without needing to be in the same location or having districts drawn by some suspect person. All the people who work at one company, all the people who like Linux, all the people who care about one racial or cultural grouping's issues can always put their person in L1 if there are enough of them. And then, any number of the L1 people can put in an L2 person. And so on.
Maybe there are flaws, but I feel like the lack of information and day-to-day familiarity with the people you're voting for, and the barriers to entry for ordinary people, are some of the biggest problems with all of this right now. It would be dope as hell if everyone who frequents one particular game store or college or housing project could get a couple of their people up into the very lowest levels of government just by all deciding. But, the person they're going to pick is based on actually knowing and respecting (at least vaguely) that person, not on TV commercials. And then the L1 people can do likewise, they obviously will start to know each other and they can develop some consensus about who should go up to the city council on their behalf or whatever.
This is just my random pipe dream but I think it is a good idea