In general the variance is minuscule, since ethnic Russians are the majority in most of Russia's regions
. In fact, you're probably more likely to notice variance in ethnic Russian populations within European Russia than between the urban populations of European Russia and Siberia, since most of the modern inhabitants of Siberia and the Russian Far East descend from migrants who moved there within the last 110 years or so. You might find some variance if you look at the indigenous communities, but even among them there are plenty of those who are fully assimilated into Russian culture and haven't preserved much of their traditions. The biggest outlier in Siberia is Tuva
, which was only formally incorporated into Russia in the 1940's, still has no railway link to the outside world and retains an indigenous absolute majority, for many of whom Russian is pretty much a foreign language. Outside of that the differences are trivial (one that immediately comes to mind is that in the Far East a lot of people drive second-hand cars from Japan and treat left-hand drive cars with suspicion).
The most culturally distinct place in European Russia is likely North Caucasus, due to both the ethnic, linguistic and religious differences and the fact that the region was also conquered relatively late. There are concentrations of ethnic minorities in other regions as well, but since the people there had spent more time under Russian rule the differences might not be as pronounced. And, like I mentioned previously, the variance within the rural areas of the traditional ethnic Russian heartland (plus certain subgroups outside of it, like the Cossacks
or the Pomors
) can be noticeable in things like dialect
, folklore, architecture (in the south of Russia houses were traditionally built with the main entrance facing the road, while in the north the main entrance is on the opposite side), etc. And then there's the little things, like the fact that in Moscow people line up on the right side of the escalator going both ways, while in Saint Petersburg this is only done when going down.