Create Searchable Video Database that can be accessed from a website

I am wondering if there is any way to do the following/if you have any recommendations:

I want to create a database of videos that on the front end (UI/published website) is a search bar that searches only the videos...

The videos could be hosted via youtube and all that pops up on the front end when user searches for a video is an image or thumbnail with link to the video/youtube page.

I'd need to tag the videos/attach to keywords so I have control over the videos that show up related to each query.

Basically is there a way to create a database that connects search queries to videos that are either hosted on youtube or other domain/hosting platform... and that can be integrated into an online site (uses hubspot CMS but could change if there is a problem...).... You don't need to worry about the web design -- I'd figure that out separately.

Also it would be great if the solution could be free... so bypass any programs that would be a shortcut... (if you have relatively cheap suggestions though I'm open to hearing them).

Hopefully this makes sense!! Please let me know if you have any questions. I am a complete novice when it comes to web development and I really, really appreciate your help. (please dont let me being a novice hold you back from suggestions that would work, however!!)

Again, thank you so much!!!

Pearl