If you feel ready, then you should try. If things get too stressful, you can always end the relationship. If you can find someone who has been through something as well (not necessarily a mental illness), someone who has had his/her own share of suffering, then s/he might make a good potential partner. The only good thing about suffering is that it makes people more empathetic and understanding.

Do you have someone in mind who you would like to date?