Update private_key_management.md

Author: tnull

docs/overview/private_key_management.md

@@ -1,7 +1,7 @@
 # Private Key Management
 
-LDK has "default implementations", but you can choose to provide private keys to LDK in any way you wish following a simple API. LDK even supports a generic API for signing transactions, allowing you to run LDK without any private keys in memory and/or putting private keys only on hardware wallets.
+LDK provides a default implementation for key management, but you can choose to provide private keys to LDK in any way you wish following a simple API. LDK even supports a generic API for signing transactions, allowing you to run LDK without any private keys in memory and/or putting private keys only on hardware wallets.
 
-While LDK's default implementation is currently within Rust-Lightning, it is still considered a sample module.
+While LDK's default implementation is currently located within the `rust-lightning` crate, it is still considered a sample module.
 
-[LDK's `KeysManager` docs](https://docs.rs/lightning/*/lightning/chain/keysinterface/struct.KeysManager.html).
+[LDK's `KeysManager` docs](https://docs.rs/lightning/*/lightning/chain/keysinterface/struct.KeysManager.html).