I want to find a good Altcoin to invest in before the bull starts, also have a non-custodial exchange. This means, that we have complete control over our funds. If there is, please help convey it, because a lots of new altcoins was born every day.
If you want to go with both safe and profitable altcoin that would do at least x5 within a couple of years than your best choice is Solana. The coin itself is trading below $170 at the moment and on a proper bull run, if the coin doesn't shuts up, it would easily rise to around $1K. I recommend Solana for every type of investors.
But if you are willing to have some risk and look for more profit, memecoins is what you need to invest into. The safer option is to pick the popular ones like PEPE, Dogwifhat, Bonk, Shiba Inu, Floki, Bome, etc. and if you like more thrill, invest in newer meme coins like Maga, Bendoge, Turbo, etc.