The Noun Project - search a million curated icons, customise to your desired colour. Download in black and white for free. No attribution required. Many are basic in design but very suitable for many sites.
Fiverr - you can outsource your logo here. For only $5, you can get someone to make one for you. Check their portfolio first and see if you're happy with their style. Suitable, again, for when you're just starting out.