Subwoofer with remote control? What brands have them? Worth it? Recommendations?

[hedliniv]

I am looking into purchasing my first Subwoofer and I notice some of them come with a remote control. Is this of value? Does anybody have a setup that includes this that can speak about it's value? What brands have them? I know Denon has a few that have them... is it worth the extra price? Any recommendations?

Here is my current setup...
Denon AVR-1910 Receiver
2 sets of Bose 301 speakers (fronts and rear surrounds)
Polk Audio CS-2 center channel
this will be a 5.1 system

Considerations....
I have a 2 year old so I am thinking a downward firing subwoofer would be the best...
I really like the idea of a remote as I use the stereo system for all audio - TV, Amazon Prime video. I primarily want to use this subwoofer for movies and that is why I would like the option to turn on the subwoofer easily.
Max budget is $500

Setting....
Laminate floors - large oddly shaped room with high ceiling and an adjacent kitchen with open layout. Any assistance would be greatly appreciated!