Changing my dell inspiron 580 motherboard to another brand

It should fit, but the front panel wiring may (or may not be) different.

So I have to figure it out myself and where to connect the wires but it will still work tho right

so the wiring is different but i just have to figure the wiring out and it will work right

You'll also need some other parts - the Dell heatsink assembly won't fit an aftermarket board, for one.  You'll also need to purchase a new license for Windows as well, since the aftermarket board won't have the Dell BIOS and embedded license key needed to activate the OEM copy.

What cheap  one can I buy

Nothing current will take the CPU you have - you'll need to look for used boards that were current in the same time frame as when your system was new (2010-2011 or so).  That system uses a socket 1156 CPU and board.

It's not clear why you want to replace the board.  If it has failed, the cheapest solution is another Inspiron 580 board.  Anything more current than that and you'll be essentially building a new system from scratch.