Can I save my files in transfer
You can install LibreOffice alongside Word 2010.
Most Word files can be opened correctly by LibreOffice but files with complex formatting might not appear in the expected form.
If you mean that you have bought a new computer and want to transfer your files to the new computer, then that is a separate operation, unrelated to LibreOffice.
You could copy your Documents folder and any other folders in which you store your files, to a USB drive and from there copy to the new computer. The details depend on your operating system.
If you bought Word separately from your previous computer then you might also be licensed to remove Word 2010 from the old computer and install it on the new.