If you don't NEED to copy at the file and folder level, or if you WANT to simply clone some partitions or volumes to a new, single physical disk and still keep the same drive-letter and labeling scheme on your system, I'd recommend Macrium Reflect Free. The difference between Free and Home is only that Home will do incremental imaging backups, and Free only offers full and differential.
You should be able to resize those partitions, but you will have to image the disk first, then specify target volume size when restoring them. The restoration allows you to specify on-the-fly target volume sizes.
Or you could simply image the old volumes and disks, remove the source disk or disks, replace with the larger disk mentioned in the original post, and then restore the image to whatever set of respective physical locations you choose.