A woodworking shop needs some space-granted, but to my suprise it does not need a huge room, something the size of an average living room would be sufficient enough to get your business off the ground. It is important to make sure you will be able to have constant access, parking space to deliver materials and load up your projects. But it is also quite important you find your shop in the neighbourhood that will tolerate loud noise of power tools and dust.
You can find a great, affordable place, but the minute you fire off your saw or belt sander-the neighbours will flip out and there you go, you are in trouble even before you managed to make your first piece of furniture.
So keep all that in mind while shopping for working space. Also-and it is just my opinion-it is not too good to rent a piece of floor that plenty of other people have access to. You will acquire some expensive tools overtime, and there is always a small possibility of things going missing, misplaced and lost- that might be a pain in the butt.
So, finding a place is not easy, especially if you are on the budget-but it is possible. I would also contact some councils and present your business plan, they might have some pointers on where you should be looking, not so much with the free place to provide- I tried that and got nowhere, so save yourself some time.
Good place to look is a artists village, commonwealth studios for entrepreneurs, they usually have more options.
This is crucial to find a place that would suit your needs, I was making some furniture at home, in my bathroom and that did not go well with my girlfriend and even less with my neighbours sick of the noise. So spend some time, and do not give up. Go from door to door and ask. I was unsuccessful for 3 months and finally landed an awesome place, a shipping container turned into a shop, with secured door, window, parking space and cool landlord. So it can be done- do not give up until you get where you are going.
If you have any questions-shoot, I will try to help best I can.