There is a lot of free software for morphometric analyses. Some programs are more useful for analyzing size measurements, others for shape. Some are point-and-click programs, others are packages for morphometrics that run in R; R gives you much greater flexibility and it is far easier to repeat the same kind of analysis many times, as well as to keep a complete record of what you did, but it does take time to learn enough about R before it is easy to use. I have written a general overview of free software for geometric morphometrics, but it is seriously outdated in the sections on doing morphometrics in R (it can be downloaded from ResearchGate). If you want to use measurements of size instead, you could do your analyses in R anyway, but as mentioned above, PAST is a reasonable alternative. It does the standard analyses and it is not that difficult to learn. If you plan to analyze shape, I would strongly recommend doing your analyses in R because the most comprehensive program for shape analysis is the R package geomorph. It has an excellent manual and a very complete Users Guide. It is also excellent for graphics. The first step in any morphometric analysis is collecting the data, and the tps program, tpsDig remains my favorite for that (it is for collecting data from photographs by clicking on landmarks and outlining curves). I've digitizing several thousand photographs using it and although I've experimented with other programs I have not found one as easy to use or as complete. That one you can get at www.life.bio.sunysb.edu/morph/. That is the Stony Brook morphometrics website and it has links to many programs (just follow the link to software).
There is a 1917 classic book by D'Arcy Wentworth Thompson, On Growth and Form that relates to some of the above software with very interesting ideas about such matters in general. I suggest the on line 1945 version at
https://archive.org/details/ongrowthform00thom
Thompson was not big on evolution and felt that living things were simply well engineered. Even though I am a staunch evolutionist I think his is one of the greatest biology books of the very early 20th century. It is very inspiring, especially his morphological and geometric line drawings.
There is a lot of free software for morphometric analyses. Some programs are more useful for analyzing size measurements, others for shape. Some are point-and-click programs, others are packages for morphometrics that run in R; R gives you much greater flexibility and it is far easier to repeat the same kind of analysis many times, as well as to keep a complete record of what you did, but it does take time to learn enough about R before it is easy to use. I have written a general overview of free software for geometric morphometrics, but it is seriously outdated in the sections on doing morphometrics in R (it can be downloaded from ResearchGate). If you want to use measurements of size instead, you could do your analyses in R anyway, but as mentioned above, PAST is a reasonable alternative. It does the standard analyses and it is not that difficult to learn. If you plan to analyze shape, I would strongly recommend doing your analyses in R because the most comprehensive program for shape analysis is the R package geomorph. It has an excellent manual and a very complete Users Guide. It is also excellent for graphics. The first step in any morphometric analysis is collecting the data, and the tps program, tpsDig remains my favorite for that (it is for collecting data from photographs by clicking on landmarks and outlining curves). I've digitizing several thousand photographs using it and although I've experimented with other programs I have not found one as easy to use or as complete. That one you can get at www.life.bio.sunysb.edu/morph/. That is the Stony Brook morphometrics website and it has links to many programs (just follow the link to software).
If you are looking for something easy (no R coding involved) and cheap (free, really), I'd go with Landmark Editor + PAST. If you are OK with R, Geomorph is a great package.