If that is your personal property and you have a gain on the sale - that will be capital gain and you owned the property more than a year - long term capital gain taxed at reduced rate - not more than 15%.
You may not deter the gain on your personal property - to defer the gain using section 1031 exchange transaction - that should be your business or investment property.
Sorry - that transaction will likely be taxable.
Even you lived less than 2 years if the main reason is moving to a new job location, health issues or some other unforeseen circumstances. Please verify the reason you are moving. See more details in the IRS publication 523 - http://www.irs.gov/pub/irs-pdf/p523.pdf
yes - that is correct - it doesn't matter how you are using proceeds.
If you are not qualified for exclusion - the capital gain on the personal property is taxable.
Sorry - if you expected a different answer.