Hey emma, first of all I hope you haven't made the decision to give up on your dog because of your boyfriend situation. In my honest opinion you should't even be in this situation, you two should sit down and agree to find a solution to the issues, but that's just my opinion.
I understand what you mean by the annoying continuous barking, because my newly adopted puppy used to do the same (if not more, trust me), so I'm going to refer you to some tips that did wonders for me.
You might have guessed it by now that there's no shortcut to solving these behavioral issues, you have to train your dog the right way.
And before we speak about the right ways, let's get the wrong ways out of sight. Here are the things you NEVER want to do when trying to stop dog barking:
Screaming: NEVER start screaming at your dog or show your dog that you’re heated and angry thinking you’re going to get them to stop barking that way. You’re not. You’ll just make it worse because they might sense that you’re joining them in barking (let’s face it, human screaming is the equivalent to dog barking) or worse off, they will sense that you’re frustrated and might try to imitate you, and that’s a whole other dangerous story because that’s when them attacking you becomes a real possibility. If you’re going to make your dog stop barking the right way, you have to learn how to keep your cool. Speak and act in a calm yet firm way.
Being too nice: Don’t be too sweet and wishy-washy with your dog when you want them to stop barking. You must be firm and assertive (but refer to #1 and don’t yell!) so they don’t mistake your affection with your approval of their barking.
Inconsistency: Not being consistent. I see this happen a lot of times so I had to include it here. When you’re training your dog when to bark and when not to bark, the last thing you want to do is confuse them. All your household members and everyone who interacts with your dog must follow the same methods you follow when your dog barks inappropriately. If you let your dog get away with inappropriate barking one time and punish them for it the other, you’re sending them mixed signals.
Giving them food: Never EVER try to make your dog quiet by giving them a treat to make their mouth full and stop them from barking. This way, you’ll teach them that when they bark, they get a treat from you.
I can't post everything here, but there's much more golden nuggets for you to pick up on in
this article about how exactly you can stop your dog from barking so annoyingly.
Good luck with the whole boyfriend situation!