Refacing won’t make sense as the dated part is the hinges that are showing.

I’d consider saving up to replace them when you can afford to do a full remodel. For now, I’d change the hardware and paint the backsplash rather than the cabinets.

OP, please explain what bothers you about the cabinets as they are. Do you hate the color, the style, what? What overall look or goal do you have in mind for the kitchen? Are you planning a full reno later or is the cabinet mod the only thing that will be done?

This is an aesthetic question, totally subjective, so without more guidance from OP, random strangers' aesthetic input may not be useful.

For example, I like the existing cabinets fine but don't like the backsplash and counters at all. Likely not helpful.

It’s the color I do not like it’s yellow . They were painted from previous owner there in excellent shape .Wanted to update the look maybe off white . New hardware and new light fixtures. Love my floors and the design of the floor plan.
So mine is the bottom but I like the top .

Chris, I’m straying from the question because it doesn’t really matter what color the cabinets are - having that cooktop where it is is a huge hazard. Would you consider moving that?

never had a problem wotj cooktop .Love it never has it been a hazard .