OK, CPA here, First things first - consult your local CPA as there may be local laws that I am unaware of. Secondly, I DO NOT practice in the public arena and things may have changed since I did, so my basis for these statements is my knowledge of what-could-be old IRS regs (though to my knowledge, nothing has changed here).
Yes, you can depreciate equipment used in a business capacity. It would be hard to prove or disprove personal use, although I would strongly encourage you to track useage and be able to show records of usage. The principal rule of taxes is CYA!
Yes, you can deduct, and should if it is allowed, expenses related to a home office/studio. You can also deprciate any equipment used in your business - computers, software, printers and so on - and, again, you should. It is a legal and allowable expense. Not sure where you guys get that info about a home office triggering an audit, but it's not true. Audits are highly unlikely in the private sector and as long as you can back up your numbers, shouldn't be a problem.
Someone mentioned using personal funds to buy equipment. IF YOU HAVE A BUSINESS AND IT IS NOT A SOLE PROPRIETORSHIP (which it should not be - go see your CPA), you have just pierced the corporate vail. Someone sues you for some reason, first thing that attorney is going to do is check your banking for this transaction right here.
The buying then leasing thing can be done. I have not seen it done frequently, as you then create business expense and personal revenue. Same with the sale to your business, though that really doesn't make sense in my mind, as you sell an asset at a lower value to your business and basically take a loss on it personally. You can't do anything with the loss but had the business just bought, you could have expensed the entire amount via depreciation.
My hope is this provides you a little more info to think about. I strongly encourage anyone who owns a business to at least consult a CPA and, preferable use a CPA for your completing your tax work, if not handling your business finances. there's alot of security that goes with having a CPA take on some of those responabilities.