No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
There is no universal schedule.
Just try it and if they like it then you're good. If not, then try something else until you find something that works.
I'm planning to test to see if I'm on the 30-day schedule next Monday or thereabouts, the 10th, as I got my first manual CLI (a double-dip actually, I was given an auto-CLI overnight) on June 10th. If that doesn't pan out, I'll try again on or about 8/10 and then on or about 9/10.