You might want to listen to the
Aviation Podcast by Jason Miller on Phoenix class B.
But in reality, there is not much too it. Call out approach control well in advance like you would for a class C airport CTR in Europe stating everything the controller needs to know (aircraft callsign, type, position, altitude, heading, destination) requesting class bravo transition. Then wait for the magic "Cleared through the Bravo airspace" sentence. Before that happens, be prepared to switch frequencies a lot, enter a squawk and keep your cool.
However, for a landing at a Bravo airport, you sure want to have the airport diagram ready and write down all the taxi instructions that follow once you are on the ground. Don't try to follow on the map, just read the taxi instructions back. "Request progressive taxi, unfamiliar with the airport" is not going to make you a lot of friends with O'Hare ground.
As for sequencing in with the jets, that really depends. They likely will make you fly holds or 360s and then request you fly your best approach (say 115 kts descent) speed until 1 mile final. It is a bad idea to try this at 7 AM or 4.30 PM.
I hope this alleviates your concerns. I'm assuming you are at least a PPL ? Otherwise you have to log ground instruction with a signoff related to the specific class bravo before you give it a try. Have fun.