@Revel:
This is how it went for me my first time ordering with Strohecker's. I called them up to ask what all they needed from me besides my prescription (I was mailing it in). The lady said I needed to include: my name (the name on the prescription), my mailing address, date of birth, my phone number, the prescribing physician, the doc's phone number, and any known allergies.
The next day I mailed it in and a couple days later she called me back to confirm. She also called my endo to confirm the prescription. About 20 minutes later, I got another call and we talked about needle sizes and which ones I wanted. At this point, you should set up payment (we didn't, it was a mix up, but was fixed).
I gave them my debit card info over the phone. I'm not sure what other forms of payment they take. Got my T in a few days later.

As for your second question, I started T in December and that time came and went mostly normal. It was lighter and seemed to last longer than usual (a week versus 4-5 days). I'm thinking it'll be another month or two and it'll be gone.