Most pumps nowadays come with adaptors so you can choose which plumbing you want and just use the correct adaptor per your choice. PVC pump outlets are generally smooth so the PVC just slides on (and glued). Flexible hose pump adaptors, as your picture shows, are barbed. You warm up the end of the flexible hose, push it on and generally use a jubilee clip to secure.
I notice that not only is your pump adaptor barbed, but your bulkheads are too, so really, unless you want to get new adaptors for your pump, and new bulkheads, it looks like flexible tubing is the way forward for you.
A word of warning, don't get cheap and flimsy hosing, it may kink and cause flow issues. Ribbed hosing or braided is the best.
Good luck.