Why do you need to know the phone type? Is what you really want to know the preferred phone number and secondary phone number?
It seems to me that when people ask for "home", "work" and "mobile" phone numbers, they are assuming that the home number is preferred, and you should try to reach them at that number first. One might then try work number during the day and then the mobile phone last since that was once considered an expensive call.
But none of these assumptions holds true today. I might want you to call me at work in the evening if the mobile number is somehow not answered (when does THAT happen?) and really never to call the home landline (if such a thing exists). In my case, for example, I do not have a home landline and nobody ever calls me at my work number (except for wrong numbers). I prefer everyone just call my mobile phone.
This situation is a good example of the UX principle to identify the need rather than just collect data or go with what we've always done before or what our competition does.
Unless you are gathering data on what sorts of telephones your users have, I would assume you are trying to gather information on how to contact them and some priority of method.
So why assume when you can ask them?
Give three phone number options:
- Preferred phone number
- Alternate #1
- Alternate #2
Please let us know how to reach you:
- Daytime telephone number
- Evening telephone number
- Alternate telephone number