Buying new coins easily?

I'm in a crypto mood again, after being involved during the Dogecoin hype a few years ago. What I didn't really understand back then and still don't today: How do I buy new coins (as easily as possible)?

I feel like gambling a bit and will probably lose everything, but nevertheless, I want to buy some (Meme) coins that have just hit the market. All I remember from when I asked myself the same question before is that if I wanted to buy a coin for a few euros, I would have had to spend much more money on gas fees. Additionally, the whole buying and selling process was quite complicated.

So, how can I buy new coins easily and without paying too much in gas fees? Is that even possible? Thanks