According to all the Russian speakers who've studied this with me, it's more or less the same as in Russian. That's also true for all other European languages I know about. You shouldn't have to remember anything as it will almost certainly be the same order as it would be in Russian. (If you don't think there is a 'natural' order in Russian, try changing the English order and say it in Russian - it should sound very strange.) For example, try saying these in Russian: A tattered, big, old, green, Mexican, straw hat. A straw, old, big, Mexican, tattered, green hat. One should sound much more natural than the others.

Yeah, those rules are generally correct. If you learn some collocations, it can help to remember the order. A common combination is size + color: Big red dog Small blue box Tall red flower The material the object is made of has the highest priority (generally)-- the material is a part of the object itself, its essence: size + color + material: Small blue metal box Long red wooden table Floor-length white silk dress You can generalize 'material' to include the place of origin (Italian coffee) or the purpose of the object (wedding dress). Big red Spanish hat Floor-length white wedding dress The opinion adjective will go first--it has more to do with the speaker's opinion/ judgment/ preference, so you can think of it as being closer to the beginning of the sentence and furthest away from the noun: opinion + size + color + material: Exquisite small red wooden box Unremarkable standard-sized white metal door Beautiful long blue velvet cloak I'd say usually, we tend to only use two or three adjectives max, unless it's a very particular case.