RE:  WaMu -- actually, if anything WaMu was in 'over their heads' with a tremendous amount of loan risk & very little in assets to back it up.  WaMu might've been OK at the bank-branch level, but the company as a whole was badly managed.  You don't have to worry, though, because your deposits (your checking & savings) have not gone away, and in theory they are insured by the FDIC if, for some reason, they should 'disappear' in the near future.

Chase actually was not up to its scuppers in bad loans, like WaMu was.  So, while your local Chase branches might be poorly managed or charge high fees, etc., actually the company as a whole is much safer/better off than WaMu ever was.  To be honest, I hated WaMu (among other things, they refused to refund their overdraft fees when my employer screwed up & deposited only half my paycheck -- WaMu insisted that my employer should pay me back the sum of WaMu's fees, and my employer refused, so I ended up paying the overdraft fee).

Chase has somehow worked it out with the government, so that they are only buying the deposits (savings & checking) and the bank branches from WaMu.  In other words, Chase is only buying the parts of WaMu that still have some value.  All of WaMu's bad loan debts (low or even negative value) will likely be taken up by the federal gov't, meaning that you and I as taxpayers will (ultimately) be covering WaMu's losses due to risky mortgages & the like.  Chase can afford to buy WaMu because Chase (and Bank of America, and Citigroup) is among the few mega-banks that still have significant good assets they can use for backing mortgages and loans (and the purchases of failing banks, incidentally).

So you should be fine -- barring a complete market collapse & the onset of the Second Great Depression, that is; in which case everyone's up a creek & it won't matter what bank you are/were doing business with.  Oh, and keep an eye on inflation.  It is very possible that the gov't bailout, while it may help dispense with the bad debt/mortgages out there, could yet help cause inflation to skyrocket, in which case, welcome to Jimmy Carter days, horrible unemployment, lines at the gas pump, etc., but maybe not a full-on Depression.

Hope your date went well, too, BTW.