The question is not how will Estonia treat/feels about the EU, but how they feel about/will treat you. I'm afradi that the smaller will get shafted in favour of the opinions and agendas of the larger countries. I hope not, since if the people of Europe whole-heartedly support the EU, it has some incredible potential. IMHO Europe has amazing culture and people, and the EU will go a long way towards forming a body that could possible oppose the US militarily and economically.
Oh and, DG, am I right in thinking that most Brits oppose further integration in the EU? The general feel that I get (dont exactly know from where, just from talking to some people and articles etc) is that most Brits are agianst any alliance that might infringe upon they sovreignty, though I hardly think being a yes man to you-know-who is any better.
Serbia is facing pretty much the same situation as Estonia (the process isn't as far along), though I'm not exactly sure of my opinions on it. On one hand, membership in the EU can go a long way towards restoring Yugoslavia's economy etc, though on the other hand, most EU member countries supported the bombing of Yugoslavia in 1999, and kissing their ass seems kind of dis-honourable to me. We'll see how it turns out.