What do I use to glue my model on its base?

I would just use CA glue. I just used it to glue everything down on my M3A3 CFV Maintenance dio. It works fine and holds great. Use a small amount on each point you want to glue down. If you want to make it more secure, you can drill a small hole in the bottom of each part you want to glue and a corresponding hole in the base and use a piece of wire or pin to pin them together as well.