what is a good way of tranporting my clothing to customers?

I think that since transporting goods is a pretty commonly available service, you probably mean "making your clothing available to customers". In this case, you actually want "exposure".

Starting out as a new provider, you should get experience showing your product and getting feedback and refining your abilities. Good ways to show your wares is to attend craft shows as an exhibitor and bring your goods along. Study what the other providers do, how they interact with patrons, how they display their products, prices they charge. This will be part of your training and business development process. You'll also learn about access to materials and other resources and how to conduct business. As time goes on, your goal should be to develop a "brand" -- some reputation that makes customers seek you out when you appear in these shows.

You will also want to bring your clothing to consignment shops. This will provide further exposure. You may be asked to volunteer to staff these shops, since they are usually a cooperative effort, and you'll then be interfacing with more customers.

Once you've established your line and skills, you may want to expand to get others to help you. Or you may continue to do it yourself. Or contract out with other providers who can use the economy of scale to produce your own line to your specifications but at a much higher volume. If you want to stay small, you can then place ads in various media as well as establish a website, and possibly do mail-order.

Sound good?

Looks like you have a typo in your question - are you asking about "transportation"? And when you say "good" do you mean "cheap"?

Assuming that the above is true, you could consider the major mail carriers as delivery options. The USPS, FedEx, and UPS all have standard mail rates you can use to ship product. They also provide insurance in the event that you are moving high-cost items that you would not want to lose. To learn more about their pricing and work out your plan, you should go to their websites or visit your local USPS/FedEx/UPS office to ask for assistance from a clerk.

Remember that there is significant risk of fraud when shipping products to customers. You may have to calculate that into your business model to make sure that you are prepared to take some losses on fraudulent purchases.