Congratulations and good luck for the continuation! It will get easier as you go on.
I think for Iliad, for the purpose of a beginner, the Greek text is very similar in different editions. The differences are mainly in the critical apparatus and whether you get a translation or a commentary in the same volume.
West's edition is the most recent and a great scholarly achievement. It has a very extensive critical apparatus, but probably that's not important for you. Probably this isn't what you're looking for. When you'll be reading the Iliad for the second
time, things will be different...
I have the Bristol edition by Malcolm Willcock you mention. The commentary is good and concise and not too difficult, and aimed at students. The problem is that this book sold at Amazon is (or at least was a few years ago when I bought it) an extremely low quality reprint. The glued binding came apart immediately, and that's probably the reason I never used it very much. There's no way the book will not fall into pieces long before you reach the end. My advice is to try find an older second hand copy (Amazon seems to have some).
Helmut Van Thiel's Ilias might be a good choice (the second newest edition), as it takes only one volume and the marginals are quite ample, so there's room for your own notes. No commentary or translation there. But I think it's good to have the commentary and the text in different volumes, so you can have both open at the same time.
The Green and Yellows are generally good, but they are aimed at slightly more advanced readers than Willcock. Their notes are much longer. You'll probably find them helpful too though. There are Green and Yellows at least for books VI, XXII and XIV. Then there are Oxford commentaries on books I and IX at least, which I think are about on the same level as the Green and Yellows. Then there's a six part Cambridge commentary on the whole of the Iliad by Kirk et al., which is generally intended for more advanced readers, but you'll learn a lot from there too.
There's really a lot to choose from. I really depends how much time and money you're going to invest in this. Can you use a university library? Anyway, maybe Willcock's commentary is the best to start with. You might want to use some of those other, more in-depth commentaries at least for the books you're most interested in.