ah the boob light, builders series lol.

In the kitchen I would much rather see you invest in recessed lighting, lots of contractors will do it as a package price that includes the lights, and I would do the same in the hallway. the ones in the hall can be directional so you can focus them on some pictures you might place there. This is a very simple retrofit for the all away with recessed, and for the most part in the kitchen too. I would be they didn't take down the light when they last painted the ceiling so if you do choose to stay with flush mounts be ready to paint. or go a little wider.

as an alternative, you could do a pendant over the sink a flush mount near the door and semi flush over the middle. I could see a portable island in the centre... you have a lot to think about.

What is your budget for new lighting and how many fixtures will it need to cover? There are many semi-flush mount fixtures that emit a lot of light.

It may help to price out the lights you have (for comparison) with a big website like lightingdirect.com or lowes.com. I think you'll find that three replacements of similar quality are going to run you more than $200 total. Try prioritizing which ones you really want to replace first, such as installing a pendant over the sink and replacing the hall fixture. The tubes in the fluorescent fixture can be swapped out for LED tubes made just for this kind of retrofitting, at $15 or so dollars each.

not on either side of the sink, but yes you do need to recess more than two in kitchen, a total of 5-6 would be best

So Im not sure where the lights are in the kitchen that are not pictured. if you show us those I can do the layout for you.

If you prefer the look of recessed "can" lights, there are some great retrofit options these days. These install like regular surface-mount fixtures, but they are ultra-slim and look very similar to a can light. And they are quite reasonably priced too.

Of course, if you want more than one fixture in a location that previously only had a single fixture, or if you want dimmers in a location that didn't have them, then things get a little more expensive. But this is well within the realm of what a DIY homeowner or a cheap handyman could do.

This doesn't mean that "real" can lights don't make sense in new construction products. But for retrofits, the difference in labor cost favors the ultra-slim lights.

There are lots of options. Just search for "ultra slim recessed led" on Amazon, and you should get several suggestions. Read the reviews to see which one would work for you. Main differences are color temperature (you probably want around 2700K or 3000K for residential use) and details on where you need to place the LED driver.

I think, I also saw some videos on Youtube showing how to install this lights in different retrofit situations.

im not sure who you talked to about the recessed lighting but you may not need atttic access.