I would find any way possible to avoid carrying that laptop back and forth. If the company expects you to do heavy graphics they should provide a computer that's up to the task, or suffer the consequences of your lower productivity.
I use two computers and use a USB drive to ferry data and keep them sync'd. I also have a larger portable disc drive which used to get more use, but USB drives got big enough that it's now mainly a back up device.
I'm considering buying a tablet as my travel computer since it has few, if any, moving parts to get damaged by road shock. Plus it's much lighter than my laptop, so it's easier to fly with, or carry on the bike on longer trips or tours.
If you do decide to commute carrying the computer, discuss with your employer issues like who'll take responsibility for a damaged disc drive, or any other work related loss.
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