We bought some low voltage landscape lights (12v 2.5w) that unfortunately have some issues. Specifically, when turned on, you can easily see each dot of the LED strip as opposed to a more seamless uniform look. I'm trying to fix this, but am absolutely not an LED or electronics expert.  
I've disassembled one of the units and it appears that the light, wiring, and any controllers are housed in a single unit that can be easily removed from the fixture. I've tried searching for a replacement bulb (like this), but haven't found one in an appropriate size. My next idea is to purchase a dotless LED strip and put that into the light fixture, but I'm not totally clear on how the wiring would work. My questions: 

1. I'm looking at buying a roll of dotless LED (e.g. this) and cutting it to size. When I cut the LED strip to length, what do I need to do to connect it to the low voltage transformer? Is it just connecting a wire to the end and running that to the transformer or do I need a driver for each one?

2. Any other ideas of how to solve this?

3. What else do I need to know?

Thanks so much! 

I want to install flush mount low voltage lighting into these walls I fabricated. The cost of the (very) limited supply of product on the market would approach the cost of what they are installed in. The products are unimpressive, expensive, and leave a lot to be desired. Can anyone refer me to resources or dealers I may be missing, or that I should take a look at?