Has she been spayed? And also are you planning on neutering the males as their hormones will drive them to want to mate with her which could just make thing escalate.
Once they are all altered, then that’s when it would be a good idea to start some bonding session in a neutral space. I know you said you didn’t really mind if they weren’t fully bonded, but even if they are going to share the same running space, it’s best that you go through the bonding sessions to at least help them get used to each other and deal with an agreed upon hierarchy in their play area.
One thing you also may find is that having this new female around may make the male hormones completely rage and they could have some scuffles of their own.
There have been some members who have successfull bonded a trios – hopefully they will come by and offer some help. I know we have also discussed this on the board before and so I’ll head off to find links that might be helpful to you.