Do your recording (tracking) at home.
Then take all the tracks to the studio and mix them down.
Take your computer or your multi-track recorder to the studio as well. With ALL the seperate tracks (un-mixed).
You can also go visit the studio you are looking at mixingdown at, and tell them what you have and what you want them to do.
They should be able to tell you everything you need to know before you come back to mixdown.
Their idea's will vary. And some studio's are more flexible than others.
This worked for me on the first two CD's I recorded as well.
And saved me (us) ALOT of studio time & cash over the years.

quite simply

quite simply ,all you should do is consolidate each audio track (so there are no gaps)

each track should start at the same place i.e. bar 1 beat 1

then export each newly created file as an aiff (split stereo if necessary)

then burn a data disc with the exported files (making sure each file is named correctly so you can decipher what's happening when you re-build the tune at the studio)

a data disc in necessary if you're using 24 bit files

make a master and a safety so you've something to fall back on if something silly happens

there's no need to take your setup to the studio ,even if you've midi tracks these should be bounced in cubase to an audio track, as long as you've settled on the patch.

the most important thig is that you make all files start at the same point!

i hope this makes things a bit easier to understand

output each track a single audio file,(it's very important to give each of them a distinguish name, and the same start point! e.g. 00:00:00 )
then import them into protool or other software

or output a *.omf(2.0) file of the whole song.

"or output a *.omf(2.0) file of the whole song."

I wouldnt count on that!
That .omf stuff never works for me.
Why doesnt it work properly?