Kimmie might have a field day with this, but I'll give it a whirl.
"send up", i'm assuming you mean to "send the food upstairs", I believe I would say "envoyer en haut" ---> phonetically it would be "an voy yeah en o"
"pick up", again since I'm not a chef I'm only guessing where you would use the term in your kitchen. Assumin that it's for "pick up orders only", I would say "pour emporter"
Kimmie would prolly help you the best, sorry can't be much help.
