LTC/BTC pair

Hey everyone,

I need to send my BTC to my Ledger Nano S but the withdrawal fees on Binance are kind of high for what I'm willing to pay, so I'm thinking of swapping my BTC to LTC which has a very low withdrawal fee, and then convert back to BTC on another exchange (one that has cheaper BTC withdraw fees) before sending to my Ledger. Is it a good idea to do this by buying the directly on the LTC/BTC pair, or is it better/safer to sell BTC and buy LTC separately? If yes, should I use market or limit orders?

Thanks in advance!