In response to 2rebecca, I'm really glad that there is common ground emerging between people on both sides of this divisive argument (one of the terrible things about this referendum has been the reinforcement not just of British people's stereotypes about foreigners, but also of their stereotypes about each other).
Many people on the Remain side, including myself, share your feeling that alongside all the upsides like Erasmus and many others, there is a downside, principally excessive corporate power. It's just that we see Brexit as an extremely bad cure to a real problem, that would be much worse than what it purports to cure. That's because the UK itself suffers from excessive corporate power, and has been absolutely at the forefront of promoting it on the rest of Europe. The only coherent arguments I have heard for Brexit might make some sense for supporters of the most right-wing ultra-free market wing elements of the Conservative Party - who are, in the short term at least, the only people who will actually have any chance of implementing them - but they are not in anyone else's interest. For a good analysis of why this is so, I'd urge any left-of-centre people considering Leave to see this post by EU politics expert Dr Owen Parker of the University of Sheffield: speri.dept.shef.ac.uk/2016/04/12/lexit-careful-what-you-wish-for/
In fact there's a whole campaign based around this kind of perspective, Another Europe Is Possible, which includes members of the Green, Labour and other parties.
It's also interesting that you were a No voter in the Scottish referendum, because in a way my argument for Remain in this referendum is similar. If I disagree with George Osborne's economic policies, does it therefore logically follow that I think the UK should have no government at all? And by the same token, if I disagree with Jean-Claude Juncker's economic policies, does it therefore follow that I think there should be no governance whatsoever at European level? That we should therefore risk destroying the largest peace project in human history? My answers are no, no and no.
As for housing, primary and secondary education and health, all these things that people really care about are simply not areas of EU competence. They are all entirely within the control of the UK government and/or devolved administrations: if they wished to spend more money on them, they could do so. Such issues are therefore simply irrelevant to the referendum debate. The only reason they have been brought in is that poor levels of public understanding in the UK of what the EU actually can and cannot do means that Leave think they can get away with mixing up these issues. One more argument for better education.