You have good answers already, but I'll just add mine...
When you manipulate someone you are cleverly using their feelings, emotions and beliefs in a way that makes them do what you want. For example, if you want your children to go to bed and you know that they like it when you read them a story, you may tell them "hurry up, when you're in bed I will read you a story". If you just tell them to go to bed they may resist you, but by adding the bit about reading a story you are making them pause and think about a reward. If the idea of the reward is enough to get them into bed then your manipulation has been a success.
A deception would be if you told them "hurry up, when you're in bed I will read you a story", and then you DIDN'T read them a story. In that case your deception would be the same thing as a lie. Or, if you read them a story like this..."one day a pig tripped over a branch and fell into the pond, the end"... This would not be a lie because you did indeed tell them a story, but it would still be a deception because the children were expecting (and you knew they were expecting) a proper story.
Other manipulations...
1) Want to come to my party? Sara is going to be there! (you know he likes Sara)
2) I hear Tony is going to get the best grades this term. Didn't you get the best grades last term? (you know he's proud about his grades, so you're trying to make him study harder)
Other deceptions...
1) Sara really likes you and she'll be at my party tonight, you should come! (when you know that Sara doesn't actually like him)
2) If you buy my notes I can guarantee that you get better grades than Tony this term! (you can't actually guarantee this and your notes may be rubbish but you don't care you just want the money)