New to collecting! What to do with boxes?

Hi guys! I’m new to collecting but have accumulated quite a few figures in a short span of time… my main question is what do you guys do with all the boxes? I feel like I should keep them but they take up so much space… If you don’t keep them what do you do when you move or travel with them for any reason? Any advice is appreciated!

Bonus pics of my favorite set that I have so far!