How to transfer photos and contacts from the iPhone 4 to the iPhone 5?

My laptop has three other devices connected with iTunes. How can I do this without interfering with the other devices?

There are two ways to make it. Anyway, you need to install some file transfer tool.iTunes should be installed on your computer.

Method one:
Transfer photos and contacts from the iPhone 4 to computer first, then send these files from computer to your iPhone 5.

Method two:
Transfer photos and contacts from iPhone 4 to iPhone 5 directly with 1 click.

I prefer the second one which I have done before. The steps are really simple.
1. Install the file transfer for iPhone (I use M2mate, you can have you own choice.)
2. Run the program and connect both iPhone 4 and iPhone 5 to computer via cable
3. The program interface would show both your iPhone 4 and 5 on the left, tab photos and contacts on the left and begin exporting the files between the iDevice on the main panel.

Get dropbox put the files on there then put dropbox on yr new phone and use the same account.