My 16mo still has one night feed as well as a f...

My 16mo still has one night feed as well as a feed just before bed (She no longer has any feeds during the day). She eats everything in site during the day and has to have either a meal or a snack every 2-3 hours otherwise she walks around saying "tea" until you get her food. Snacks are either fruit, vegies, cheese or yogurt. She has her feed on the couch and then says goodnight to everyone and goes to bed (and takes a sippy cup with milk which she drinks until she's full before throwing it on the floor and going to sleep.) She usually wakes once through the night with a wet nappy and goes back to sleep by herself once she's been changed and then wakes around 6 determined to have a feed. She's still sleeping in our bedroom and I would like to move her to her own room which is at the other end of the house. I'm reluctant to move her while she's still having feeds partly for convenience and partly because I don't want her waking the boys at 6am as they won't go back to sleep. Just wondering if anyone has any suggestions? I've been told by my health nurse that she shouldn't be having night feeds at this age but starving screaming child at 6am doesn't thrill me.