Our adult kids just had accounts with the local credit union until they went to college and then we got them college accounts through Wells Fargo that required them to get a Visa. They haven't charged much except big expenses or travel, and then they pay it off in full, so they have a great credit rating and have been able to finance their vehicles on their own credit with just part-time student jobs. They both get a ton of credit card offers but the one that seems the best if they wanted another card is probably Chase Freedom.
Just keep waiting. They started off sending me letters for $150 cashback if I got one and it kept increasing until I decided to get it at $300.
I forgot to mention we always pay in full so I have no idea how the interest % differs among them. But if OP has plans to charge something that will take several months to pay off, that would obviously be an important factor.