I've never added glycerine to any of my soaps so I'm of no help there.
To cut down on how drying a soap is to the skin, you can alter the recipe and use less of the oils like coconut that are known to be drying while increasing the conditioning oils like olive. The downside is that those drying oils like coconut are typically your bubble producers, so you have to really work at balancing things out. A lot of people, myself included, substitute palm kernel oil for some or all of the coconut, which helps with the drying issue.
Another easy way to cut down on the drying is to increase your lye discount/superfat percentage. Bumping it from the standard 5% to 7-8% may help without you having to reformulate your recipe.