I have: 11-12 meters of RGB 5050 LED strip, which consumes 14.4W per meter, seller says I should use 12V DC 180W 15A power supply, to power the whole thing up. I also have 3x MOSFET-N (IRLZ34N) I want to connect the strip to my digispark (as an alternative for arduino) to control its colors. Will it be safe to connect them as pictured below?
It seems to me that you are going to use a white bread board for such a circuit and I'm not recommending doing that at all due to the huge amount of current intended to power up your LEDs. And I would recommend that you design your circuit on a stand alone PCB to consider the relationship between applied current on tracks and track width. Also I would recommend using Heatsink (TO-220 Package) to allow your MOSFETs drain some of the heat generated from them to avoid their failure.