in terms of routing its something like: a route is chosen and then the actual payment is sent onion routed (like tor) where each layer/hop only sees where its come from and the next hop, so only sees the nodeid of next hop, not whole path. 

payment doesnt just get shot at random from source to destination. routes are determined based on fees, no. of hops etc

someone with more experience and better skills will come along and explain it better though

_b_o_n_e_s_

bitcoin

How are LN payments routed? 

mudbloodvonfrei

im neither a dev nor lightning expert but my understanding is its something like, right now intermediary nodes know the payment hash so well connected ones can/could potentially figure out whos paying who just because they have such volume

this is the goto resource on lightning privacy:
https://lightningprivacy.com/en/routing-analysis