Those "tutorials" that you were reading probably only suggested using the software because they get paid a commission every time someone buys it or they own the software themselves.
I'm not going to go into great detail about how to create your own SEO competitive analysis reports, but you can start by gathering the following information about your competitior:
Inbound Links Profile: the links pointing to their website. You can find this by using free tools such as Backlink Watch
Outbound Link Profile: What websites are they linking to? You can find these easily by looking for hyperlinked content on their page.
Targeted Keywords: These are keywords that usually appear the most when you check their keyword density. Speaking of keyword density...
Keyword density: How often the keyword appears in the article. You can calculate keyword density manually or you can use free tools such as SEOCentro.
Link building strategies: Are they using their own websites, are they using PBNs, are they spamming blog comments, or are they letting people create links naturally?
Marketing Strategies: Are they using PPC, SEO, Classifieds, or another method to drive traffic to their website?
Local Strategies (Local SEO Only): Are they building citations? Do they have a presence on social media? Do they have a verified local Google+ business page?
Other websites owned by your competitor: You can usually find these by typing in their company name or searching their link profiles.
Monetisation Strategies: How does their website make money? Do they use Google Adsense? Do they sell their own products (check to see if they have a products page)? Are they affiliates for another company?
Other Statistics: While not perfect, you can use metric tools such as Moz or Majestic to get an idea of how competitive your competitor is in the SERPs.
Once all of this information is gathered, you can then compare your own website to your competitors (use the methods to create a report on your own website) to find out what you need to improve on to really compete with them.