If you want to run the analyses on your own computer, DAMBE, MEGA, PAUP and other packages offer a variety of methods (neighbor-joining, maximum parisimony, maximum likelihood, etc) and models (HKY, GTR, etc).

http://dambe.bio.uottawa.ca/DAMBE/dambe.aspx

https://www.megasoftware.net/

https://paup.phylosolutions.com/

If you want a web app where you just paste in your alignment there are many good web servers:

https://www.phylogeny.fr/

https://www.hiv.lanl.gov/components/sequence/HIV/treemaker/treemaker.html

https://www.hiv.lanl.gov/content/sequence/IQTREE/iqtree.html

Either way you should also download FigTree for rendering the tree (font size, scale bar, line thickness, radial vs cladograme style, color the species of interest, etc):

http://tree.bio.ed.ac.uk/software/figtree/

Seaview (https://mybiosoftware.com/tag/seaview) is a reliable and easy to use program to learn phylogenies. It is a compendium of really excellent independent program that accomplishes alignment (use the Muscle option) and really fine distance, likelihood and parsimony inference programs.

Similarly you should look at TreeViewer also with a nice graphical interface (https://treeviewer.org).

Other excellent programs are for likelihood:PAUP, Raxml, IQ and for Bayesian: MrBayes. One of my favorites is SplitTree for tree diagnosis. And for publication quality trees, try FigTree. These last few are my go-to programs but may take a bit more training - which you should get anyway.

These all have very good manuals. Also I will be making my many years of lectures available soon on my researchgate page. Will take questions.

Since you want to create an accurate class-level phylogenetic tree, methods based on characteristics, i.e. ML and BI, are highly recommended.

One of Maximum likelihood algorithms providing not only fast but accurate result is IQTree. It can select best models on its own and its ufboot replication method can do thousands of bootstrap replications in just a few minutes. Fortunately, you can find the GUI of IQTree in Phylosuite, making it easy to operate. RaxML-NG is also recommended for a big set of substitude models and high accuracy, but it is much slower. Fasttree may be the fastest ML software but it only provide JC and GTR models for nulcleotide sequences.

Another method, Bayes inference, uses MrBayes software. However, Mrbayes may be very slow without the support of BEAGLE library and multiple-thread support. I recommend you to set up a WSL Linux subsystem on your windows computer and set up MrBayes and BEAGLE library there for phylogenies.