Hi and thanks for your question.  There is a lot of information about testing, the types of tests and window periods to consider for timing of testing on the smartsexresource.com homepage. Just click on Get Tested along the top bar to get the drop down list of options.  Here are a couple of the links:
for when to test:  

https://smartsexresource.com/get-tested/when-to-test

and this one has a list of the tests offered so you can discuss them with your doctor or at the STI clinic:

 https://smartsexresource.com/sites/default/files/resources/STI%20Testing%20Checklist_Jul2012_0.pdf