Do you need a stroller?

I’m expecting my first and thinking about the way I want to do things. I don’t work, I’m a full time online student. I’m planning on spending 24/7 with my baby when he arrives. I think I’m going to be very attached and want him with me all the time. As a result, I would like to invest more money into an ergobaby Omni and not buy a stroller, opting to baby wear instead. Every time I tell my family about this, they don’t think it’s a good idea to skip a stroller. Do you, experienced parents, think it’s reasonable to just baby wear, or should I get a stroller as well?