It won't crack or chip if it's done right.
A good paint shop will remove the whole bumper, sand it down smooth, prep it, and use a heavy primer on it. They make a special primer for plastics and it melts right onto the plastic and it holds the paint really well.
Go to a couple of different shops, and get estimates and talk with the painters. Have them show you examples of work they've done. Have them show you around their shop.
And then choose which one you feel is best.
A good paint shop will remove the whole bumper, sand it down smooth, prep it, and use a heavy primer on it. They make a special primer for plastics and it melts right onto the plastic and it holds the paint really well.
Go to a couple of different shops, and get estimates and talk with the painters. Have them show you examples of work they've done. Have them show you around their shop.
And then choose which one you feel is best.