I explained in my immediately previous post how you can do it. You need to resize your existing partitions down to a size that will fit on your SSD. Then when the copying process is done, you can resize your original partitions back up to their original size.
The only reason the above would not be possible would be if your original partitions, even if they are sized to to the minimum possible (due to existing data content) were still to big to fit the SSD. But, if that is the case, then I am bound to ask why you are asking for advice on how to achieve the physically impossible - irrespective of what software you use. It would be like asking how to fit two litres of milk into a 1 litre jug.
In which case, The only possible glimmer of hope might be to use something like Clonzilla which, I believe does compress data a bit. But, not by much, if I remember correctly
I am happy to show you how to resize a partition if you need to know. Just ask.