I've posted some general resources to learn algebraic topology from, at an advanced undergraduate level.Â
Here are some resources.
If you are starting out, I recommend going through some of the ones with more pictures initially. But personal preference here.
Allen Hatcher has a great book which you can download here (https://pi.math.cornell.edu/~hatcher/AT/ATpage.html).
Pierre Albin has lectures online, which closely follow Hatcher's text (https://www.youtube.com/playlist?list=PLpRLWqLFLVTCL15U6N3o35g4uhMSBVA2b). These are great, but maybe lacks some pictures and examples. Exercises here (https://palbin.web.illinois.edu/Math525.Spring2018/home.html).
Anthony Bosman has a great series, again following Hatcher's text (https://www.youtube.com/playlist?list=PLOROtRhtegr7DmeMyFxfKxsljAVsAn_X4). Lots of pictures and examples.
Danniel Tubbenhauer has a nice series, again with lots of pictures. (https://www.youtube.com/playlist?list=PLuFcVFHMIfhJSSX-tlv8XxiAZSAbhv1DA)
Homological algebra is also important when learning algebraic topology. I'll try and post some resources on that later.
The following are some nice short intro.s that give a quick overview of some ideas in algebraic topology.
This is a nice introductory video. https://youtu.be/5xLe77iTHuQ
Richard Borcherds has these introductory lectures. https://www.youtube.com/playlist?list=PL8yHsr3EFj52yxQGxQoxwOtjIEtxE2BWx