@Iluviaporos - There are benefits in both kinds of banks, really. A larger bank is going to be more versatile, and a smaller bank will probably be able to give you better interest.
Just because a larger bank is big doesn't keep it from collapsing though. Plenty of large banks have collapsed and taken everyone's money with them. Just as plenty of smaller savings thrift banks have stayed afloat because they aren't trying to put a thumb in every pie.
Personally, I do what my father always advised and not put all my eggs into one basket. I keep my day to day expenses in one bank, some of my savings in another, some bonds and things with yet another and once I get to a certain point in savings I will diversify again. It makes sense because with the internet it's not complicated to get things done and I can take advantage of any offers any of them are giving as well.