iTunes should always be backwards compatible with earlier libraries, so you can just copy the library over to the new machine, and open it up. Drag and drop over wireless, or ethernet, will work just fine.
Two key things here:
1) You can have your iTunes folder anywhere, but the default location is iTunes inside your home directory, inside a folder called Music. If you copy it from your old computer to the new, into the same location iTunes should find and use it without any issues.
2) When you start iTunes it'll create a new iTunes library, if it doesn't find one. Hold down option when you start iTunes and it'll prompt you to locate and use a library that already exists. You can do this to point it to your existing iTunes library copied over from your old laptop, if you want to store it in a non-standard location.
3) iTunes will upgrade your library for the latest iTunes version. Once you do this you won't be able to go back, if you ever want to copy it back to the old laptop. Something to keep in mind.