Location is going to dictate the availability of syringes, packing material, wash, ect.
I am glad you have already been advised to seek out qualified medical care. Do It Yourself is not going to do you any favors here. Complications can quickly get expensive to fix, or even life threatening. Really, go see a doctor. If insurance, or simply high deductible, is an issue call the local doc in a box/immediate care centers and ask if they offer the service and find out what the cash/credit card rate is.
If you have a high deductible plan the provider has to charge a certain rate because your insurance carrier has contractually obligated them to. However a "cash at time of service" discount is possible if you do not volunteer that you are covered. These can often be very, very reasonable because the provider doesn't have to cover the billing overhead that is usually in excess of the time spent actually treating the patient.
In any event, get actual medical treatment. Even if it just saves you scar tissue, that scar tissue translates into increased risk of future "cauliflower ear" so it is still money well spent.