Hi! From reading your post I gather you are still learning to work the sewing machine so you aren't making scrubs per say as of yet. So, along those lines, start by getting your resale license from your state comptroller's office. Then you can start checking out and buying from wholesale scrub manufacturers (do a search on the web). Request catalogs, create member accounts on the sites so you can buy from them, and choose a name for your business. You don't need a name to get your resale license to begin with. It can be under your own personal name.
Next, create a catchy flyer that you can either hand out or mail out to the local offices/hospitals/clinics/etc. You can also give some to friends who work in these places to hand out. Laundromats and grocery store "community boards" are a great way to advertise also in a small town. This way it gets their attention and let's them know you are around. Offer several different ways to contact you (email, cell phone, business line, fax machine for example). On the flyer, list what you are offering, your starting prices, and whatever else you feel is pertinent.
Now, you will start getting calls and responses to your flyer. So you need to decide ahead of time how you want to proceed. Will you be a "catalog" order type of business to start? You can show samples of what you are selling (bought from the wholesaler) and then order directly when the client places an order with you. OR you can buy a certain type of scrub or a few different styles and colors in various sizes to take with you when you get responses from people wanting to see what you have to offer. Take your catalog and tell them that you can order anything from it and how long it will take. Be sure the catalog has no prices listed or has YOUR retail prices printed/written there for the buyer to see. The wholesale price is your business only. Don't let those get out. Also, be sure the catalog has no reference to where it's from. You can always stick a label with your info on the back.
It will take a little work to get it started and you will make mistakes and change your layout on your marketing stuff and maybe even your business name. BUT, it can be done. Scrubs are a hot ticket item so I'm sure you'll do well. Eventually you can start marketing your homemade scrubs along with the manufactured items. Possibly even expand to monogramming?
I hope this info helps! I wish you the best. Keep us posted on how you do.