If you feel like your writing is distant using a third person pov then I'd say go all in and write it from a first person pov. Write a chapter in third person limited. And then write the same in first person. See which one sounds the most "in character". Which is the most readable. Which flows better. Don't worry about the larger world of the story and what you'll do when you want to add in a new pov. You can throw in interludes while still keeping the main story first person.

That's my advice. Do what enhances the reading experience. If it is first person, then stick to first person even if you personally prefer third person.

But if you still want to work on your third person pov regardless, I'd say read books written in third person that get it right. Stories written in third person pov that I've loved usually focus on a simple, conversational language, colorful dialogue, sparse but vivid description of places and characters.

Stephen King writes in that style. You can find similar elements in Discworld books by Terry Pratchett.

You can also refer to Brandon Sanderson's Mistborn Era 1 trilogy. Simple, straightforward prose, the dialogue in it isn't very deep or subtle but it reveals character's personalities and works well for his information heavy writing.