Use Visual Aids
Destiny Points are normally simply written in a piece of paper, and like many things written, its easy to forget about it. Using **Visual Aids* for Destiny Points helps with that. Players will simply look at them and know immediately if they have points that they can use, or if the GM has too many points so they could also remind him to use some.
All three Beginner Boxes come with some cardboard tokens to represent Destiny Points and iv been using them with great success ever since the game came out. But even if you don't own these, you can use other properly-colored objects to represent the pool of Destiny Points, like blue and red plastic counters, colored meeples, or even poker chips.
Lure with a triumph
Force them into situations that they could have better chances if they actually obtain a triumph. For example, say the group has no hacker/slicer, and they have to get through a door, explain to them that they will be able to open the door by doing a Computers check with at least 5 successes or a triumph (I'm exaggerating on purpose here). The triumph here is the key element, they cannot obtain a triumph if they are not skilled on the task at hand, and flipping a Destiny Point means you now roll a proficiency die and could manage to obtain an easier success with a 1/12 chance (its worth the risk).
This can be done in dozens of different situations, using skills that nobody in the group is proficient is simply the easiest. Using Lore skills is even easier, as you can tempt them with the possible knowledge they could obtain with a triumph on their check. But even in situations where they are skilled, you could use that tactic, like shooting a vehicle with a personal-scale weapon and hope to actually damage it somehow could be done with a triumph in very specific situations.
Call it "luck", not "force"
One thing that happened in the earliest games was that people called Destiny Points as using the Force, which prompted a player to ask me "Can I try to use that (destiny points) or I have to be a jedi?". I had to correct them ever since, for a couple of sessions, that they weren't using the force, they are trying their luck, or trying their fate, or even going against all odds.
Whenever I wanted to lure them into using destiny points I ask: "Don't you want to try your luck?"