Personally I like to see people in their own gear as soon as possible. IF they know what they want and need. Before buying gear sit down and look at what your current interests are. Then think about where you'd like to see yourself in a year or two. Had I done that I would not have wasted so much money on gear that I ended up selling and got little return on. Or that I gave away or have sitting here somewhere.
There is no need for a computer at this point unless you plan to do a lot of diving without making proper plans. At recreational depths you'll likely be ruled more by air supply than NDL's. So plan for square profiles, stick with them, get your basic skills nailed down with your new gear, then think about AOW.
Had I done this I would have ended up in a Backplate and Wing from the beginning. Not a back inflate, but a proper plate and wing with a basic harness, a long hose set up, and just forgot about deep dives, very low vis, and some of the other stuff I wanted to do early on. I actually spend more time now on dives less than 100 feet and many at less than 40 - 50 feet. But those are spent working on skills, enjoying being underwater, and some of those dives are 2 hours long and yet I am still under the air NDL's.
I now have a tech computer for when I need it. But most of the dives are planned and executed using tables and depth and time information. All my tech dives are. the computer is back up for those dives.
I like teaching the Advanced level course I do but I also enjoy the Intro to Tech and Underwater Navigation where it's pure skills and practice in less than 40 feet of water for dives lasting an hour and a quarter or more. Those prep me for the more advanced, deeper, wreck penetration dives.
Get a BC and reg and then dive the crap out of them. Work on your trim and buoyancy. Practice navigation in 20 feet of water. Work on disciplining yourself to not follow a guide into every little crack and crevice. You will often see more from above and by diving your own profile.