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Your legal thinking is a bit off the mark.
First, if you create your LLC in Delaware, you will need to register with Ohio as a foreign LLC if you want protection in the Ohio courts. If someone sues you or if you want to sue someone if you are not registered in Ohio, you will need to take your courthouse business to Delaware.
Second, by the fact that you are based in Ohio, you fall into "Ohio nexus". You MUST collect retail sales tax from Ohio residents and you are liable to Ohio for payment of same. If you do not collect the tax, Ohio can make you pay out of your own pocket.
Third, An LLC is not a taxable entity as far as the IRS is concerned. You must determine your tax type or use the default. If you are a one-owner LLC, the default is a sole proprietor and all your profits are subject to income tax and self-employment tax. You may elect to be taxed as an S-Corporation, but that will require you to make an actual election with the IRS. In the case of an S-Corp, you will need to pay yourself a "reasonable" salary and additional money that is distributed to you above that salary can be done as a profit distribution not subject to SE tax.
Fourth, since you are based in Ohio and have Ohio nexus, you will also owe Ohio income tax. This is despite being a DE LLC. Income sourced from Ohio is taxable to Ohio.
Fifth, seek the advice of a tax professional before you go further and find yourself behind the eight-ball here with taxes. There is a lot you probably need to learn about before you go forth into this business venture. Sounds like a lot of what you have learned so far has come from the unreliable "street of rumors" or the equally unreliable "internet rumor mill". No, you cannot write off your entire house and its expenses.