I did not get it, but I considered it. It was hard to find a practitioner who had done it - our OB/GYN had taken the Essure training, but had never actually done one...and I wasn't willing to be her first victim (I mean, patient!). After 4 kids, we were ready to stop with the babymaking. I didn't want a tubal though, I was sure about that. After all the hard work my lady bits have done, it didn't seem right. :) I thought about the IUD, I didn't want to do the hormonal options any more. Finally my dh got snipped.
My biggest concern there was that it would affect his perception of his own virility, but it hasn't. He's still just as manly as ever. My advice would be to keep talking to your dh...it was such a quick procedure, and an uncomplicated recovery for my guy. We talked A LOT about it beforehand though. If you're both sure you don't want more kids, it's the best option, I think. However, you don't want to push him into it - it's his body, and his feelings on the matter have to be respected. Why does he refuse? Does he think he might want more kids down the line?
Maybe using some temporary method for another year or so might be long enough to wait while he considers it.
Added comments -
S. - he sounds scared of complications. It sounds a little selfish, frankly. You've had all the babies and the complications from those pregnancies - it seems like he should be able to undergo this little procedure. I would hold off on doing anything permanent, especially if you feel like your body has been through enough for a while. Maybe taking a break from sex would ease your mind a bit.