Phase 1 is like quitting smoking - the first three days are the worst as the nicotine (or in this case, sugar and processed crap) gets out of your system.
My recs: make a cabinet of just your boyfriend's crap. That way you don't have to see it. Same for the fridge...you can totally avoid his area so you aren't tempted.
Next, figure out what about vegetables you don't like. Taste? Texture? Then post here so we can help recommend some veggies to try..
And last, planning really is important. I go food shopping on the weekend and cut up all my veggies, make individual servings of my food and cook a lot so that way I have easily accessible food that is easy to eat and already portioned out.
PS - for dessert, check out this recipe
. Should curb your sweet tooth!