Specifically, if the title to a property is in my name and I deed it to an LLC (setup as a partnership) that is wholly owned by myself, does it trigger a taxable event? 

They normally just have a tax preparer (which is basically just inputing the information). 85% of accountants just prepare taxes and don't actually find unique loop holes and ways to reduce the investors taxable income.

After I received my employee identification number, I was told that if I want to, I have the option of filing form 8832 "Entity Classification Election" and elect to be classified as an organization taxable as a corporation.

The trust rates were reduced slightly with the 2017 tax law, but not nearly as much as the corporate rates.2018 Estate and Trust Income Tax RatesIf taxable income is:                                The tax is:Not over $2,550                                       10% of taxable incomeOver $2,550 but not over $9,150          $255 plus 24% of the excess over $2,550Over $9,150 but not over $12,500        $1,839 plus 35% of the excess over $9,150Over $12,500                                            $3,011.50 plus 37% of the excess over $12,500Because of the new corporate tax rates, the use of a UBIT Blocker corporation may now make sense for those investors wishing to regularly engage in UBIT exposed activities such as house flipping. 

Normally that boot would be taxable but because she qualifies for 121 that will offset the boot when you do her taxes next year.the tax free money she can do what she wants with. 

The calculation will be closer to 600k-250-(cost of all reno)- comission= taxable gain. + you will need to add back and depreciation and pay recapture tax on that. 

Who determines the Box 2a "Taxable amount"?

When you sell the first thing that happens is that the sale must be apportioned between primary residence and investment. 1/3rd of the sale would be around $600K (the primary residence portion)2/3rds of the sale would be around 1.2mil (the investment portion1/3rd of the gain would be around $283K (the primary residence portion)2/3rds of the gain would be around $566K (the investment portion)When you sell you would get the gain attributed to the primary residence portion - $283K tax free.The remaining gain would either be taxable or your could do a 1031 exchange.The requirements of the 1031 exchange are that you purchase at least as much as your net sale (1.2 mil ish) and you use all of the cash from the sale (I don't know your debt but it would be the net cash minus the $283 that goes to you tax free). 

That will result in cash to you and would be taxable. 

contributions into an LLC are generally not taxable events.