I haven't done that so I can't answer your question. In general though, if you can wait until cooler weather in the Fall, it might be better for the plant. If you have to do it now, I would take a big rootball, dig a hole double the width of the rootball in it's new location, water it in very well, and put an overturned milk crate over it for a week to give it shade while giving it air circulation. Try to do it on a cloudy day. Make sure you don't let it dry out in the hot weather.

Here's one link from a search, there were more....

Transplanting Bleeding Heart

Yes you can, although if the plant still looks good this late in the summer you may sacrifice those good looks for the remainder of the season - the trauma of transplanting might send it into dormancy. You might consider cutting off most of the top growth so the roots have less to support through the transplant. I would leave a few leaves on, just as easy indicators of whether the plant is thirsty.

I divided a bleeding heart in the heat of summer, and years later the child plant is huge, prolific, and continues flowering well into the summer. I can't recall what it looked like immediately after my abuses though...probably not very good. It is the classic pink-flowered, green-leaved bleeding heart, and neither my Gold Heart nor Valentine have performed so well despite much better treatment.