Hello and welcome to COL
Bakers is not one of the most preferred puppy foods, as you say it has lots of additives and colourings which are not particularly helpful to puppy tums and digestion.
Amongst the favoured ones with COL members for their quality are:
Dry foods: Burns Puppy, Eden (puppy I Imagine), Barking Heads, etc.,
Wet foods: Naturediet, Wainwrights
There are also complete RAW foods, which I am sure somebody who uses them can help you with.
Here is a website that explains quite well what is in each most of the more popular brands & gives ratings for each one
http://www.allaboutdogfood.co.uk/Hope this helps with your choice