I use shellac although you can use Elmers glue if you are going to store them inside out of the rain. You can chase a ring while you're at it but I usually just get the sapwood off and worry about that later. As long as its cold out you are OK as far as bugs although the checking on the ends is going to keep progressing. even with the ends sealed I've seen checks form under the bark on the ends of logs.
Congrats on the kid! I love babies, they'll sit with you on the couch, them with their bottle and you with yours, belching and farting and having a great time. They don't ask to change the channel or anything. Then they learn to crawl and its all downhill from there.