Can I move my contacts from my iPhone 3 to my new Nexus 5 and how?

I've used in app in the play store called "transfer contacts" with blue icon its smooth and fast, but it only let's you transfer up to 100 contacts without paying. If you have more than 100 then try "phone copier" its a red icon.

Posted via the Android Central App

Just export contacts on the iPhone as a .vcf file. Log into your Gmail account online and import the .vcf file to Gmail contacts. The 5X will sync with Gmail contacts. Done.

Don't forget to always save new contacts to your Google (aka Gmail) account from now on.

Android since v1.0. Linux since 2001

Me too. I've done it before by backing contacts up to gmail and voila. So easy