Hi there and welcome to the forum
Are you really self-employed, or are you a director of the company on PAYE and drawing dividends? If the latter then it sounds as if you are an employee.
Your accountant is right to be concerned about winding the company up if you have drawn dividends when the company was not making profits - or not paying its debts, and there is a risk that you will be held personally liable for the business debts. If they were to eventually claim against you personally, then this claim could be included in an IVA.
You really need to consult an IP about the limited company and your personal affairs and a lot of good IP firms will specialise in both - albeit they may not be able to act in both cases if there is a perceived conflict of interest. No harm in seeking some advice at an early stage just to see where you stand.
The commencement of an IVA should not be dictated by the timing of your company winding-up and restart. If you have personal debts now which you are not able to service, then I would be seeking help with that now. It may take a little while to formulate your proposals, and in the meantime the corporate issues can be dealt with in the background.
Do remember that if you are going to transfer assets from an insolvent company to a new one, full market value must be taken into account for fixed assets and intangible ones - such as customer base, goodwill and IP.
Good luck with all of it.
Regards, Melanie Giles, Insolvency Practitioner