Hey there! Based on your statements, I would recommend categorizing the transfers (to your personal savings held for taxes and business expenses) as an asset in your chart of accounts, given that the money is going to be used by your business in the future. Owners Drawing is used to classify money that you take out for personal use so it wouldn't fall under that given you intend to use the money for the business in the future.
How you would account for that in your personal side would be a bit tricky. You may need to classify that as a liability on your personal accounts (as opposed to income) since that money is used for the business. Ultimately, I recommend speaking with your tax accountant with this to avoid any tax troubles and open a separate business account to store your business tax and savings money. This would make your accounting (both with the business and personal) a lot easier. Good luck!