You shouldn't hide anything from your boyfriend. Unless he's just a sort of casual partner. But if he's someone you are committed to, I would recommend maybe being honest.

As for the binging...I know it's hard. Sometimes just...dropping on the floor, on the spot (if you're at home), helps. Just drop. Don't move. Just stay there, paralyzed. Let go of the physical awareness and focus 100% on pushing those cravings away. It's almost like a meditation. You breathe in, breathe out and you talk yourself out of binging. Sometimes when I try to go out for a walk to push away my binging, I end up just...subconsciously hastily walking right into a grocery store to buy binge foods.

So, sometimes...just let that percentage of your mind that is distracted of taking care of your physical awareness dissipate and just focus on meditating.