I think if you feel you should wait then do so! I wish I had waited until I was stable because I've now been with my boyfriend for almost 3 years and I've been a roller coaster the whole time! I feel horrible for all the things I have put him through and unfortunately can't take it back Luckily my boyfriend is very understanding although I know he is stressed when I get irritable or suicidal.
I can't say that it is the worst thing to have a boyfriend during this healing process but you must be prepared for the damages we can cause people by our frequent mood swings its very difficult for someone without Bp to really understand it isn't their fault in my opinion. If you do decide to go through with dating him which you should if you feel he is someone that could go on this journey with you I don't think it would be a bad idea to inform him what Bp is and how it affects you and maybe some warning signs. Just don't give up what you want because of Bp the right person will stand by you