How to put music on my iphone 4s?

Okay so heres the problem, all of my music is on my moms computer and since her iphone is backed up on there, everytime i plug mine in it deletes all my pictures and contacts and stuff and puts hers on my phone.so, how do i put JUST my music on my phone without getting all her stuff and deleting mine?

As with much to do with the iPhone, there's a bit of a trick to getting this working smoothly so you can have control over your iPhone music, while keeping it as darn easy to work with as possible. The answer? Create a custom playlist for your iPhone music library.

Let me show you how to do it - it's pretty darn easy.

Pop into iTunes and choose File --> New Playlist. Now rename it to something logical: I use "iPhone Sync"
Now you can just drag and drop music from your iTunes library (in iTunes, needless to say) into this new playlist. When you're ready, you'll see a bunch of music happily ensconced in the playlist (remember, it's all just "pointers": the actual music files are still safely in the main music library, so if you delete something from a playlist, you haven't deleted the original music file itself)
Notice here on the very bottom of the iTunes window it shows you how many songs are in the playlist, along with the size and total playing time. For my current playlist, it's 140 songs, 10.1 hours, for a total file size of 851MB, no problem for my 4GB Apple iPhone.

At this point, you need to plug in your iPhone if you haven't already done so.It'll pop up the usual summary screen.
Cool. Now click on the "Music" tab and you'll see that you can select "sync playlist". Do that, then select the new iPhone sync playlist you've created.
Set things up just as I have shown and that's all there's to it. Now click "Sync" in iTunes and it'll synchronize your playlist with the iPhone music library and next time you click on that ole' "iPod" button on the iPhone, your selections from you music library will be present.

Oh, and one really nice feature of creating this playlist is that you can manage it, adding and deleting songs to your heart's desire, even without your iPhone present. Whatever changes you make are instantly applied to your iPhone music library the very next time you synchronize the device. Suddenly even 8GB might feel small.