Cloning a drive that's too big for the target

In your case, it may be worth it to just install everything fresh, including desired apps, and then just copy your documents over from your old drive (in an external USB enclosure).

Do you do email on your mac? What program? If you use email via web browser or an IMAP server, it would be easier to transfer it that way. But copying over your entire home account (while using a different administrator account so not overwriting active files) may be easier.

When I went SSD last year, I just went with a 512GB drive so I wouldn't have these issues. Though everything would have fit in a 256GB drive (and still would). The issue this caused me was Office had to be reactivated via the telephone since it detected the hard drive changing under itself, and thought it was a copy.

 

Ugh, product activation

I did something similar with Adobe CS. I forgot to deactivate it before making a big system change. What a PITA! Make sure you deactivate and/or deauthorize apps of this ilk before changing hard drives.

 

There is plenty you can do.

But, *WARNING*, if you mess up your system I am not responsible, many files listed below are safe to delete but you should read carefully.
Normally I don't give this advise to anyone, but you seem to have problems with the size of your SSD so here it goes.

1. If you don't need dictionaries delete the contents of /Library/Dictionaries, saves a GB or so.

2. If you don't need Help files delete the contents of /Library/Documentation

3. Again Help files but now the ones inside your Applications, if you don't need them you can delete the Help Folders inside Applications, I will tell you in a moment how but do not delete any other folder than "Help" Folders, sometimes you will see "Helpers", do not delete these.
Download EasyFind, tick all the items as in the screenshot below, search for Help inside the Application Folder, *WARNING*, if you have Adobe installed inside the Application Folder move it to thhe root level first, You could break Adobe if you delete Help Folders inside Adobe.
Help files in certain Apps can be fairly big, sometimes they are in each and every language.

4. **WARNING*, this can potentially break Applications, I do not really recommend this!
Deleting Language files, Again, use Easyfind, search for .lproj inside the Application Folder, use the screenshot as below, If your language is English select all non English files to delete, be aware that English included English.lproj-el.lproj,en.lproj,US.lproj,GB.lproj,AU.lproj, amongst others.
I do it this way, BUT, there are programs which do this for you and are safer to use, those will almost sure not include Adobe which again is a problem here again.

5. Deleting Pagefiles and sleep images, these are almost sure to be excluded in CCC, find out yourself if this is the case.

6. Empty your Caches, maybe this is quite big.

7. Delete or do not copy movie files, these are almost always the biggest files on your Mac.

 

Some applications use a lot of space. Are you sure you want all of the applications on the new disk? Are you sure 120GB was really big enough? You said downloads? How much space will your downloads require?

A fresh OS X install is under 10 gigs. (No iPhoto, iMovie or Garageband installed.) How big are your applications? Note that some applications install files to other locations in addition to /Applications.

Very definitely the way to go. This way one doesn't have applications that aren't needed on there. It also means that you don't break something from removing files that shouldn't have been removed. Something that might not be discovered for a while.