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Lopp has a guide on this.
But a warning, for some reason when I did this I was unable to connect my Lightning terminal. I'm not sure the reason for this and I gave up trying to figure it out. I'm OK using Zeus instead, personally.
Darthcoin is right. LN is onion routed so you already have some good privacy without using Tor (i.e. you can see a payment's route only when sending). The advantage of tor is that it won't broadcast your ip if you are announcing your node to the network. This preserves privacy since your nodes geographical location can be traced using your ip, so other peers in the network can see your pubkey and the ip address associated with it. Also, it is important to note that, over a Tor connection, although this hides your traffic, isps can still see that your ip is using a tor connection.
Tor Browser prevents people from knowing the websites you visit. Some entities, such as your Internet Service Provider (ISP), may be able to see that you're using Tor, but they won't know where you're going when you do VPNs are convenient for obfuscsting your location.
The only advantage of connecting over tor is to not broadcast your ip and therefore location (which you can hide/change anyway using a vpn). I believe connecting only over Tor would affect the node's routing ability, but LND offers a "hybrid" option so your node allows tor and clearnet connections.