Tumbling Litecoin
Just like with Bitcoin tumbling Litecoin is a very dated practice that provides no additonal benefits. You are likely to get scammed, or just pay extra fees that are not needed. Tumbling is a service that has worked well in the past. Tumbling your coins is still better than not tumbling them, but they will not protect you. This cannot be stressed enough, chain analysis can very easily track your coins back to you even if you use a tumbler.
The way to make your Litecoin anonymous is to convert it to Monero.