Status bar and navigation bar appear over my view’s bounds in iOS 7

You can achieve this by implementing a new property called edgesForExtendedLayout in iOS7 SDK. Please add the following code to achieve this,

if ([self respondsToSelector:@selector(edgesForExtendedLayout)])
        self.edgesForExtendedLayout = UIRectEdgeNone;

You need to add the above in your -(void)viewDidLoad method.

iOS 7 brings several changes to how you layout and customize the
appearance of your UI. The changes in view-controller layout, tint
color, and font affect all the UIKit objects in your app. In
addition, enhancements to gesture recognizer APIs give you finer
grained control over gesture interactions.

Using View Controllers

In iOS 7, view controllers use full-screen layout. At the same time,
iOS 7 gives you more granular control over the way a view controller
lays out its views. In particular, the concept of full-screen layout
has been refined to let a view controller specify the layout of each
edge of its view.

The wantsFullScreenLayout view controller property is deprecated in
iOS 7. If you currently specify wantsFullScreenLayout = NO, the view
controller may display its content at an unexpected screen location
when it runs in iOS 7.

To adjust how a view controller lays out its views, UIViewController
provides the following properties:

• edgesForExtendedLayout

The edgesForExtendedLayout property uses the UIRectEdge type,
which specifies each of a rectangle’s four edges, in addition to
specifying none and all. Use edgesForExtendedLayout to specify which
edges of a view should be extended, regardless of bar translucency. By
default, the value of this property is UIRectEdgeAll.

• extendedLayoutIncludesOpaqueBars

If your design uses opaque bars, refine edgesForExtendedLayout by
also setting the extendedLayoutIncludesOpaqueBars property to
NO. (The default value of extendedLayoutIncludesOpaqueBars is NO.)

• automaticallyAdjustsScrollViewInsets

If you don’t want a scroll view’s content insets to be automatically
adjusted, set automaticallyAdjustsScrollViewInsets to NO. (The
default value of automaticallyAdjustsScrollViewInsets is YES.)

• topLayoutGuide, bottomLayoutGuide

The topLayoutGuide and bottomLayoutGuide properties indicate the
location of the top or bottom bar edges in a view controller’s view.
If bars should overlap the top or bottom of a view, you can use
Interface Builder to position the view relative to the bar by creating
constraints to the bottom of topLayoutGuide or to the top of
bottomLayoutGuide. (If no bars should overlap the view, the bottom of
topLayoutGuide is the same as the top of the view and the top of
bottomLayoutGuide is the same as the bottom of the view.) Both
properties are lazily created when requested.

Please refer, apple doc