It would be helpful if you provided a photo of the existing lights and described the wiring.

• Commercial Electric 5-Light LED White AC Puck Light Kit
• Boomerang 4 ft. Brushed Nickel LED Decorative Linear Flush Mount (to replace all lights)
• A few cabin-style ceiling lights (search results)

Be sure that whatever LED lights you choose are dimmable and that you include a compatible dimmer. You may need fewer than six LED puck lights.

-- amateur

Nobody knows what you have. A cabin is often dim. You need MULTIPLE light sources in each space or room, and not just ceiling lighting. A kitchen needs under cabinet in combination with pendant, or surface and recessed.........you need lamps in living areas, along with WHATEVER is in the ceiling.

Your best bet is an electrician, as there are many new led "recessed", requiring almost no clearance.

Get new LED puck lighting but really give us a little to work from. There are many choices for ceiling lights in LEDs IMO kitchens do not require dimmers and if you add under cabinet lighting make sure that is on a different switch for when you just want a drink of water. Post some pictures of what you have that is how you get real help.

Type this string into amazon.com "led panel lights surface mount" to see many options.