CD’s

Is it safe to purchase an online CD with a better rate than my bank has been offering? Schwab bank, Marcus by Goldman Sachs, Wells Fargo are the ones I am looking at. My CD matures 3/2/25 with a 10 day grace period after that. I’ve done a rollover twice for the 7 month duration but am thinking of doing another avenue this time. Are there things I should look for such as fees, etc.? Thank you for your advice. I only own the one CD ($15,900 now), almost $100,000 in savings, IRA of $133,000+ but looking to invest more & more. I’m retired former teacher in IL & get a pension. Looking to diversify more & more as time goes on.