I suggest you do not clear the memory cards until you return, 7 or 8 64GB cards are not cheap but also not so expensive, probably cheaper than 500GB (30GB * 14 days + a little extra) of good SSD drives.
The memory card are great because they are small, light and extremely durable.
You'll probably want a card wallet to store all those cards, preferably don't keep the cards in the camera bag and never never keep the cards in the laptop bag (because if two copies are in the same bag it's too easy for them to be damaged/stolen together).
So, your memory cards are the primary copy - now for the backup(s)
You said you are bringing a laptop, make sure you have more than 500GB of free hard drive space and copy images from the card to the laptop as often as possible - this is your first backup.
If you want a 2nd backup buy one of the slim external hard drives that are powered over USB - the good thing about them is that they are very small and can fit in a (big) pocket.
Do not store that hard drive in your camera bag or your laptop bag, that hard drive has to be in your pocket or the hotel safe (if you can use one).
The big points are:
Try to keep the original copy on the original medium (at least until you can verify you have adequate backups, preferably longer) and memory cards are not that expensive.
Each copy has to be stored in a separate location so that your original and backup are not damaged or stolen together.
Choose small and light backup devices you can carry with you, if you have a large device you will have to carry it in your laptop bag - making it not-a-backup (see point 2)
Copy to backup as often as possible