What laser is best at removing red and orange ink?

The most reliable laser wavelength for red/orange colors is 532 nm.  I would recommend either a traditional Q-switched 532 nm laser or a picosecond 532 nm laser.  Caution is required with 532 nm in darker or tanned skin because it is well absorbed by pigment in the skin and could have a higher risk of skin injury.

No matter the laser make sure the wavelength is 532nm.Picoway is a very good and powerful and effective laser.

Treating a tattoo effectively like yours will require more than just the current Picosure laser which is not optimal for red/orange tattoos. Treating these colors with a 532 Picosecond device like the Enlighten device would be the best approach to treat these colors efficiently. In my office I use three different devices for laser tattoo removal in order to treat each color in the most effective and efficient way. I would recommend seeing a dermatologist with advanced training in laser procedures for optimal results.