My idea is that we entirely reform the House of Lords - not scrap, reform. The Lords can still remain, but their chamber is elected, and is proportional. That way, we 1) remove the ridiculous nature of the current HoL, 2) introduce proportional representation into our current system, which would be fair, and 3) retain the local aspect to the current setup, where every constituency has a local MP.
First things first, the Lords needs cutting down, because it's bloated as all hell. There are currently 859 Lords.
859! Of all the two-assembly parliamentary democracies in the world, ours is the only one with a bigger 'upper' house than its 'lower' house. Plus, they're all unelected. This is patently absurd. Get rid of life peerages. It's not a thing. 39 peers currently disqualified or on leave of absence (because they're too old to sit). Get rid of them. 'Lords Temporal'? That sounds like religious groups interfering directly with our democracy without any say from the people. Not for me. That's another 26 peers out. Crossbenchers and non-affiliated? Er, why? You can do one. That's another 208 removed right there. Leaving up with 586 Lords. Hey, that's not bad!
Now, the commons is made up of 650 members. Let's assume for the purposes of this idea that this number survives the Conservatives' plans to fiddle the boundaries. If we bump up the 586 lords to a nice round 600, that leaves us a smaller 'upper' house than our 'lower' house, which is a good thing. But a round number will help me explain the next part of this plan, which is proportional representation. I'll use the most recent election as an example. So let's say in 2015, when we voted, this new system was in place. Political parties would still nominate their candidates for constituencies, as always. However, each party would also submit an official list of 'nominations', in order of priority, as to their prospective sitting members of the House of Lords. So the Conservatives would probably put Tina Stowell at #1, meaning that she'd get the Conservatives' first seat in the Lords. (All parties would of course be free to nominate current crossbenchers/non-affiliated persons as their candidates on this list, meaning the actual make-up of the personnel in the house might well be fairly similar, but there'd be a clearly defined structure to it.)
In the 2015 election, the Cons won 330 seats, Labour won 232, UKIP won 1, the Lib Dems won 8, the SNP won 50, the DUP 8, the Greens 1, Plaid 3, SF 4, UUP 2, and the SDLP 3 (+ 1 indie & the speaker). However, the 600 seats of the House of Lords would be awarded based on the % of the overall popular vote that each party won. So 0.167% (thereabouts) of the popular vote would equal 1 Lord appointment for a term in office, until the next general election. Therefore:
So UKIP, despite only winning 1 seat in parliament for 12.6% of the popular vote, would actually see their election performance rewarded with a far more proportional 76 seats in the House of Lords.
Plaid Cymru would get 4 seats, meaning their nominations #1 through #4 would be given seats in the new, proportional House of Lords.
The daily goings-on of parliament - both houses - and their roles and relationship to one another, would remain largely unchanged. But this way, we don't have a ridiculous, unelected, undemocratic second house that's open to manipulation by whichever party in power chooses to bloat it with lifetime appointments of its own selection. We'd get proportional representation - not fully, of course, but this means the current structure is retained, with local issues still given full prominence by each locally-elected commons MP. However, under such a system, no-ones vote is wasted.