I had it done the day after my baby was born and four years laster I had to have a Hysterectomy due to an infection caused by the tubal ligation. If I had not had that done I would not have had the problems and would not have had to have the surgery.
Another case I know of personally where the tubal went wrong. My sister in law ended up having a tubal pregnancy. She didn't even know she was pregnant and then started having serious bleeding. She went to the ER and they told her she was pregnant. She explained that she had a tubal and couldn't be pregnant. She was, the baby was in her tube and of course they had to take the baby and do a Hysterectomy on her.
Men do not have problems after a vasectomy. I have seven brothers and I know that at least two of them have had it done with no problems at all. Any doctor will tell you if the man is willing to get it done it is far better than a woman having it done.
If I had it to do all over again I would not have gotten the tubal. With all of your medical problems already I say let your hubby worry about the birth control issue. You have enough to deal with without a tubal going wrong. Good Luck!