Okay, seriously, thank you roverdude for this original post. I purchased two batteries from the allied link you provided. Along with your post, I used the following:
Originally I sought out a electronics repair guy, but he quoted me $60 per FOB and inspired zero confidence that he would do the work correctly. I understand that he can't give me a guarantee, but his attitude about his "time" being worth $60 per FOB rubbed me the wrong way; at least give me a $30 now -- $70 more when it works. I'd have willingly paid him $100 per FOB.
Anyway, instead I went to an electronics shop and asked the gentlemen there what I would need to do the repair. I have never soldered before so I was really clueless about what I would need. Thankfully they hooked me up with all that I would need--and for cheap! I paid $30 for an soldering iron, helping hand with magnifying glass, solder with rosin (I think), and some copper wick.
For others considering doing it yourself, GO FOR IT. Just be patient. The effin FOB is hard to get open. After cracking open the FOB, I got right to work on de-soldering. The large hole was very easy to do. The little hole ... not so much. That took a long time, nose-pliers, and a small burn to get done. Still, in just about 45 minutes, I was done and my FOB works! I can't believe I was operating without one ...
Anyway, thank you for this post. Now, I just hope that someone answers my post requesting suggestions/recommendations for spare change (quarters, etc.).