Dylan1 - What a brave post. It is good that you are prepared to enter the fray again. You must have progressed a long way and should be proud about it.
I have had the same partner for a long time - my "hubby" (21 years now) and it was supremely important that he knew. If they don't get it or they are not able to be educated to get it, then it is probably not a relationship with a long term success rate.
I have enormous self esteem issues and getting into the scene made me feel happy, excited and powerful.
I just had a gander at some creatures that mate for life:
Wolves, Gibbons, termites, barn owls, swans - surely some of these suffer from depression? (Only joking).
Partners are there for the good and the bad - the laughs and the tears. You will find the right time to tell a potential new partner and as long as they have gotten to know the real you - I believe your illness won't matter.
The fact that they might be a carer one day, means they probably have the right to understand.
On the scale of life - who is worth more? You or your mental illness? YOU ARE! Don't let it hold you back.
Good luck and go for it. Maybe your potential new partner has a secret to tell you. Everyone has secrets
All the best