Is tumbling really important if you're just sending from localbitcoins to a electric wallet then to the market wallet? I heard it was important if you were withdrawing. Because you can use plausible deniability if the wallets on darknet don't have your name, you can just say you sold it to someone you met on the streets.
Check out the sidebar on the noobs sub for a good discussion of tumbling. Personally, I'm ambivalent, and I don't tumble. You'll have others here yell about me being low hanging fruit. But I will say that it's none sense that if you do it you do it only for withdrawals. You could have been given that money by some guy on the street.