I know that there’re so many tutorial already that teach you how to make a selection and cut out some object from images, but i will teach you the way i do it 
For optimal result you might want to use high resolution photo/image, so pick a good image before you want to cutting out some photo.
For selection and cleaning an object from the background you can choose between these tools and filter in photoshop :
- Extract ( Filter > Extract / Alt + Ctrl + X , for quick selection and some hair )
- Lasso Tool,Polygonal Lasso Tool, Magnetic Lasso Tool (selecting an object from the background easily)
- Magic Wand Tool ( If you have an object with same color around it, you can use this tool )
- Eraser Tool (carefully remove the background)
- Brush Tool (just like Eraser Tool, but many people use it in masking mode)
- Pen Tool (I will show you how to use this one :D)
and still many other tool you can use.. just be creative
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