Arduino as a 12V controller

Hi everyone, I am new here. I have an arduino uno and wanted to use it as a controller to turn on the 12 volt power. So that every day it would fire up the power on the inverter, start the pool pump and mix the water for a few hours for example. There would be an RTC module added as I found well, the arduino would turn everything on at say 9am to 2pm and off and the same thing every day. I was just wondering if it can be done and if there is a point. If it is possible, what would I need to buy to make it work. From the Uno I still have the display, I2C buttons, etc. which is pretty much everything I would need for the build. I was still thinking about a rain sensor, which is such an unattended control, so to speak, when the rain comes the pump shuts off and doesn't work. I hope someone will suggest and I will do it.

Please post a link to the datasheet of the heater.

That is very doable and not to complicated.
Interesting project but we are not a free design or code writing service. We will be happy help out with your design and or code but first you have to make an attempt to design it, write it, post it and explain what is not working properly.

If there is hardware it is always best to post links to technical information as there are many versions of the same or different items. Since we cannot see your project, my eyes are to weak, you need to post using the language of electronics, an annotated schematic (best) or a clear picture of a drawing. Pictures never hurt. Frizzing diagrams are not considered schematics here.

I recommend you get a copy of the Arduino Cookbook and go through it, you should find enough to make your project. If you want there is a for hire section here as well.

Informatively I'll just write that I use the translator because I'm from Poland. Link to the pump I could not find but I know that it has 60w and voltage 230v. Supposedly the pump on 12V but in the cable there is a transformer which must be powered by 230v anyway. Also my guess is that it will also be powered by 230v

You will need a relay, preferably a AC solid state with zero cross switching, that will help keep EMI at a minimum.

could you help find something ? some link ?

Did you try?

This is the search term I used: zero cross ac relay and this is my first hit:
image These can range from less then $5 US to well over $50 US depending on the source and brand.

Use an off the shelf timer with internal battery reserve ....maybe $20 off Ebay or whatever.