Walgreens Alkaline are fine. I've run LOTS of 9v & plenty of AA's too. Heard that they're off brand duracells with a higher failure rate per train-car-load, but I can't recall a failure, maybe one dud out of a package once in y2k?
Werker, Panasonic Pro-Cell, Duracell & Energizer won't be a problem either unless they're pretty ancient. Lithiums last a lot longer than alkalines, but unless you need the convenience, I don't think they're a good value.