What products should I use on my bangs?

So, I just got a new haircut!
I have bangs now, and there’s just one thing I don’t like—how they don’t stay in place…

So, my question:
Can anyone out there recommend any products that will keep my hair in place (specific ones) that WON’T make my hair look greasy. Because I feel like the hairspray I have is doing that, and I SURELY don’t want that.
So, thanks in advance. :)