For storage, a Ziplock bag works well (especially for mailing). Just make sure it's sealed air tight. A prescription pill bottle works great too because of the secure lid.
When I got home, I transferred him to a double ziplock labelled with the date and where on the body I found him and tossed him into the freezer for a few months until I figured I was in the clear.
Separately: Bay Area hikers beware -- change your clothes immediately after getting home, do complete body checks after hiking -- ideally, shower immediately.
IMO health insurance should be paying for everything preventative. It's in their financial interest to stop fretting about what kind of lab you are, encourage early diagnosis and reduce long-term medical costs.
the pharma companies won't be happy with that
I wouldn't trust the CDC data. Notice that there is no primary source on their webpage.
Here is a paper by someone who took an independent look into it: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4278789/
Relevant Plug: https://www.tickcheck.com/
As mentioned in other comments, serological tests fall short in various ways (accuracy, time). If you keep the tick that bit you, we can test it for the presence Lyme, and several other pathogens. If negative, we can effectively rule out much of the risk. Super quick & accurate, too.