Use the PLACE command found under FILE in the menu bar to import scanned images or photos (JPEGS or PSD files) from Photoshop.
Use the LAYERS window found under WINDOWS in the menu bar to separate different parts of your drawing while you are working on it. (for example, place a jpeg of your pencil drawn logo in a bottom layer, lock it and then create a new layer on top of it to do your illustrator drawing. Another common example would be to do all of your type on one layer and all drawn elements on a separate one.)
Selection Tool (Black Arrow) to choose objects and move them (click on the object not on the border)
Direct Selection Tool (White Arrow) to select points or handles to edit or move