Question from a beginner

Hi guys, this is a question that for many of you will sound silly, but I’m a total noob in crypto. I understand that it’s not a good strategy to keep crypto on the exchange, so I’m thinking to buy a ledger Nano X. The thing is that I’m buying ethereum with a dollar cost average strategy: I usually buy 20 / 30 euros of Eth every week or two. What I see is that gas fee are very high, so if I buy such small amounts of eth and then I want to transfer them outside the exchange in a wallet, a good portion of my investment is eroded by the gas cost. So, what do you suggest me to do in order to optimize the transfer cost? Should I conver my eth in a different crypto with low transfer costs and then convert them back on the ledger (assuming this is duable at a lower cost)? Thank you in advance for your advices