The second bay in your laptop can be a Godsend and hopefully can be a viable option for performing the disk-cloning operation as well as for future operations.
You could install your Samsung SSD in that second bay and that drive will serve as the "destination" disk during the disk-cloning operation.
Following the successful disk-cloning operation it probably would be the best course of action to trade places between the two drives - install the SSD in the first bay & the HDD in the second bay. This would be reasonable assurance that the system will boot to the new boot drive. Of course you would want to check the system's boot priority order to ensure this.
In theory you should also be able to boot (via setting the boot priority order) to the drive in the Dell's second bay. However, we have found theory doesn't always translate to actual practice. We've come across some laptops that simply won't permit a boot from a disk installed in the second bay even when the disk in the first bay has been uninstalled. Apparently (at least in certain cases) the manufacturer's proprietary modification of the BIOS/UEFI invokes a balking action for the boot.
I've had no experience that I can recall with your Dell 1737 so I can't give you any insight as to whether a boot from a drive in the machine's second bay will be possible. In any event, if you go this route, i.e., after your now-bootable SSD is installed in the first bay and the HDD installed in the second bay, it would be simple enough to determine if that HDD will boot while it still contains the OS and before you format the HDD should that be your future intention. I certainly would be interested in learning of your experience if you decide on the 2-bay approach.
However, even without a bootable drive in the second bay the disk installed in that bay would still be desirable feature in that it could serve as a destination disk for future disk-cloning operations that are designed as comprehensive backups for your installed system or for other storage purposes. It's really a no-lose situation.
But if you would rather go the route of using the HDD as an external USB drive to first serve as the source disk during the initial disk-cloning operation you can do that as well. Purchase a a USB enclosure (3.0 capability of course) and install your HDD in that device. Installation of such is a snap. Don't know if you've familiar with those devices but if you're not, here's a sample of one of them that we are currently using...
http://www.newegg.com/Product/Product.aspx?Item=9SIA3YB25C2245&cm_re=orico_6518us3-bk-_-0VN-0003-000F6-_-Product
It was on sale at Newegg @ $19.99 when we bought three of these units some months ago. Have performed quite well. Note they accommodate both 2 1/2" & 3 1/2" disks. There are scores of these type of USB external devices available on the market. Many users prefer the so-called "docking stations". Take a look at the various offerings.
And following the disk-cloning operation the USB external HDD can serve as a storage and/or backup device. Many users prefer an external device as another layer of security.
Let us know how you make out.