White glue or yellow carpenters glue will both work.
Yellow carpenter's glue.
with glue
It depends on the scale of the model
you get glue and popsical sticks, me duckie. then you get a big red staples "do it" button, and EH VOILAAAA! you got yer hydraulical bridge :D
Definitely not the best glue to use. Use wood glue. *Hide glue is tried and true. It is thought best by many for parts that may need to be repaired down the road. Titebond and Gorilla glue are also favoured, although Titebond has a longer open time.
if it is a plastic model kit you can use super glue, but not wood glue.
Theres a product called flex zap glue from this site (FreshDeals.com). This glue works very well with securing a model car and takes about thirty to ninety seconds to dry. The best part about this glue is its moisture and solvent resistant characteristics which is the main reason its ideal for this project of yours.
oatmeal and glue works best
Super Glue
Silicone is best for that.
I like a product called 'C&B Metabond.' However, you can use others as well. DO NOT attempt to reglue a loose bridge at home with superglue or other temporary glues.
Nail polish remover will dissolve super glue.