First past the post does anything BUT what you say. I'll hold up UKIP as a notable example. 4 million odd votes, 12.5% of the vote and....1 seat. Many would be glad they only got one seat but that can't be considered democratic. In the same election the Liberals got 8% of the vote and...8 seats. If you think that's a system that's fit for purpose then wow, just wow.
PR in pure form isn't messy. It's just different....and more democratic (though of course in reality it'd still be dominated by party politics). It's only when stupidly complicated ideas like the Alternative Vote get conjured up by either idiots or those with a strong interest in blocking PR that it gets complicated. Look at the system of seats and fptp anyway, it's not exactly simple!
At the moment with this system there is absolutely no point in voting if you live in a safe seat and vote against the sitting party. Your vote means nothing, nada, zilch so why bother? They may as well not bother having a ballot in these seats and just have them in marginals. This isn't democracy!
PR isn't perfect but it's way better and way more like a democracy than this fptp mess.
You're absolutely right that in the info age you can easily find stuff. Can you find unbiased, impartial stuff that easily though? A forensic breakdown of 'facts' and effects? Ok sites like Factcheck exist but most google searches reveal articles and comment that is anything but unbiased. All of the main stream media sites (which dominate results) have a 'leaning', tow the line of the ideology they claim to support.
The internet and info age are not necessarily the friend of those looking for impartial data to help them make political decisions.
Our education system does nothing to prepare da yoot for life as part of the electorate. nothing to encourage them to engage politically.
Politicians do nothing to encourage Brenda to engage, on the contrary they behave so badly that they encourage apathy.
In my view you can't point at one thing and say, change this and it'll all come good. You have to broaden the focus and address many areas of how we go about things.