You're most likely to use MLA Style in our philosophy classes, but Chicago Style is also possible. The library has guides dedicated to each, full of examples of citations and pre-formatted Word documents.
Your process to capture sources and citations will be very individual, but be consistent and choose a tool to help organize your research. Some suggested tools:
OneDrive - 1 TB free storage for Lone Star College students.
Evernote - The basic version is free. Works across all mobile devices. Create notebooks for each course or writing assignment. Be sure to download the Web Clipper as well.
ZoteroBib is a free citation tool that supports MLA, APA, CMOS, and thousands of others. Use this instead of the full Zotero if you just need some quick citations.