I will join longneck, you need to give to give this one to a pro.
If you do not understand about back-feeding a circuit, already, it is too easy to kill someone. I say this without exaggeration.
The biggest problem with running a generator with a transfer switch is that you have to wire it into your main panel.
For basic protection of life, (as well as the law,) it must NOT be possible to have your generator and the power to your house on the same wire, at the same time.
This is not a case of, just for a few seconds, or I would not do that, or I will triple check a written list.
It must not be possible under mechanically, electrically, on with quantum physics.
The reason is that if you put power on the 'dead' wires to your house, it is possible to kill someone a mile away, or more.
Emergency workers expect down lines to be dead. Yes, they do check first, but that does not mean that the situation can not change while they are working on them.
Transformers work backwards, low voltage at your generator (240) quickly becomes high voltage (thousands).
And sometimes people, and pets, or cars, just do not even see a fallen power line.
This is a case of some money to a pro vs life.
Heck No. Checklists of switches to throw in sequence are absolutely unacceptable. I know this is "new to you", but this is well-hashed territory to safety investigators and most people familiar with electrical. It falls in the "facepalm, what were you thinking" category.
This may seem counterintuitive, but for a temporary fix, you permanently modify the wire. You de-energize the entire system, then run around with flashlights physically severing the mains connections, and physically splicing in the generator connection. Like you'll never use it again, but leaving it intact for potential future use.
For instance I would physically remove the main breaker from the main panel and replace it with a (listed) blanking cover, and/or remove and insulation-wrap the mains feeds. Then hard-splice the wires to the garage so they go to the generator instead of the garage panel.
Walk that whole thing, double/triple check it, have the inspector visit if that's a requirement, then light 'er up. That's what I do for temporary work.
For permanent work, obviously, I'd put in a proper interlock. This is not as big a deal as it sounds. I would start by installing a small** sub-panel right next to the main panel. This would have two "main breakers" in positions 1-4, with an interlock between them (rather simple affair). One would feed from the main panel, the other from the genny. Then I would decide which circuits I would ever want to light from the generator, and move those circuits to the subpanel. The original main panel stays mains-only.
src
I gather you want to use the wiring to the garage subpanel in a bidirectional manner, feeding the garage from mains, or feeding the house from genny. This has come up on this forum before, and there's just no way to do that even remotely safely. Bite the bullet and lay parallel cable.
** by my definition, "small" is 42-space. Panel space is dirt cheap and often comes with free bonus breakers, so a net win. Whereas, running out of panel space is a catastrophe.
Best Answer
The 240-volt power supply will always be better and supply more power to your house. Please take note however you need one more rather sophisticated item it the mix to make a safe system. You need some type of a transfer switch to make your system safe and to keep your generator power from energizing the utility power grid. You can plug individual appliances into the generator just as is. But if you want to connect to the house panel, you need a transfer switch first. Most places this is the law. Without it people can get hurt.