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Hard disk drive backup and system recovery tools allow you to instantly restore the entire machine
You'll have to attach the new hard drive to the laptop using a USB> SATA adaptor, do a disk to disk copy and then switch the drives
You'll need an adaptor like this to do the copy
AK-CBSA03-80BK - AKASA - LEAD, 2.5" SATA HDD - ESATA,FLEXSTOR | CPC
As for the drive - my experience of Toshiba laptop drives is that they don't last very long
Another comment - you're trying to copy to a smaller hard drive than the original - that often goes wrong. You'd be doing yourself a favour if you can exchange it for one at least as big as the existing one