I'm very happy with the barbell I bought - a 5' one, that can handle up to about 140 pounds. It's the one that goes on sale at Walmart from time to time; there are links posted here, which is how I found it. It fits in the small space I have very nicely. However, I'm thinking I will need a second stronger one in a year or two. The reason is deadlifts. I've got a weighted vest that goes up to 40 pounds, and I can pair that with my select tech dumbbells for everything I need in squats. The select tech dumbbells go to 90#, and so far I haven't needed more than 45 pounds each. Plenty of room to grow. But my deadlifts are hitting 115 in second week of Meso 3, and I don't personally feel that the weighted vest is a good option for increasing the intensity of those. I almost doubled my deadlift capacity based on the 1RM tests using STS ... am guessing that's a one time thing
Still, you might want to think about what your predicted 1RM deadlift is, and use that as a guide to how much weight your barbell needs to hold. Also, as mentioned, you'll find that the expensive part is probably going to be the plates, so you'll want to stick with one size hole or the other.
I also highly, highly recommend SelectTech or other dial-in dumbbells to keep from having to buy new dumbbells all the time as you get stronger. Another option is the bar-style free weights, but I can't change those fast enough even with extra clips to keep up with Cathe. Speaking of making changes, I love my plate-mates, pace-mates, and weighted gloves, for handling those micro-weight increases that turn out to be such a wonderful way to train. Am checking out a similar arrangement for barbells. And, I found that two weighted vests works for me: the lighter one is set for walks, and the heavier one is set for squats. My forearms have trouble holding really heavy weights for long, so putting some of the weight in the vest works really well. I try to hold as much as I can in my hand, and then put the rest in the vest - that's how I decide how to split the load.
Other equipment ... I also absolutely love my IronMaster bench. It is *so* easy to change the angle! It's made my incline work much safer and more enjoyable than the old "TransFIRMER" incline step I'd been using. It also can be purchased with a bar that will allow a person to do decline work, though I haven't done that yet, and there's an optional dip bar and pullup attachment as well.
Rather than paper plates I've found that the "glides" work well for me on carpet, and of course there is the stability ball and one or two resistance bands.
BTW, by no means do you really "need" all of the above, but it sure is handy! And it has made it much easier for my husband to buy me gifts this year
I've been steadily accumulating the pieces all year, mostly based on recommendations from others in the forum.