Putting music onto phone

[Gol22]

I know there are phones that could have the full song from their music list on their PC and/or anywhere else on the computer. I just want to know if there is a way to do that.

My phone is a Samsung t819 and it does have quite a lot of extra memory.

It has a Music Player for... well music... but I don't really have songs that I could listen to off it.

Is there a program that could shrink down the memory size of my songs from my computer so I could send them to my phone and listen to them there?