I put new rims/tires on my car ('11 BMW) and didn't have to do anything with the new TPMS sensors other than reinitialize while parked and then drive off.
I don't know of any manufacturer that needs any special process for TPMS.
Actually, the majority do. All Japanese and Korean manufacturers must be programmed with either factory (dealer) tools or an aftermarket 'TPMS programmer' kind of deal. You scan each sensor, then hook up to the OBD port and it sends the information to whatever module manages the tire sensors (BCM or equivalent, typically).
Mazda is the only Asian exception I can think of.
Ford is another exception (which makes sense because of platform sharing). In those cases, you simply drive the car until the sensors get 'initialized' and the light should go out.
I was unaware Chrysler was the same, but then again, I've barely touched a Chrysler. Even when working for a rental company...not because they never came in the shop, but because even the rental companies wouldn't buy them. :/
GM, iirc, you reprogram without a tool. You tell the car (can't remember how...either through the dash or with a combination of keyless remote buttons) that you're going to reprogram. Then you walk around the car and let a little air out of each tire until the horn honks. If you do it in the right order, this will sync the dash readings back up. i.e. 'LF: 32psi' actually means LF is 32psi...although I'm a bit of a GM 'hater,' I like this method, as it allows the customer to reset the tire positions after rotation. Otherwise, a message that your LF tire is low could mean LR. Or any tire, if they've been cross rotated or you've had new tires mounted.