I just completed replacing a steering rack on my 1989 Accord, so kinda similar.
Here are the things that were “key” issues.
1. Get a hold of the service manual for that car to see how much “stuff” needed to be removed in order to get the rack out. I had to drop a frame beam, the exhaust A-Pipe and both rods from the stick shift to MT. Then the secret “trick” was doing something Eric cautioned against – turning the wheel all of the way to the left so that the inner tie-rod cleared other frame supports.
2. Use line wrenches (flare nut wrench) on the hydraulic lines, use lots of penetrating oil ( I used PB Blaster) on the fittings! Oh and be Patient! You do not wanna break those tiny lines! I sprayed them for a couple of days and tapped on them before trying to break them free, but mine were pretty rusted.
3. Make sure you get enough new PS Fluid. (find specs & capacity) I bought a 6 pack off eBay and used 5 of them. I let the system drain for a day before trying to get the rack out, still there was some residual leakage, so I needed mop up supplies.
4. While you are on the front end looks like you have checked most things. Are the struts in good shape? Last year I did UCAs, stabilizer links, struts and tie rod ends. The crux on that axle job is likely if the bolt comes free from the fork, LCA juncture. It worked nicely in Eric’s videos, but otherwise one is taking apart & reassembling a new axle to get it in place or a new LCA, etc.
5. Don’t be fooled – getting that steering wheel back on straight, is probably going to be more like Eric’s venture (several tries). It took several test drives, and an extra tube of perseverance, before I got everything aligned.
6. Be prepared. What Eric says about ‘patience’ and a steering rack, is true. Take you time, take breaks, think smart and don’t let it beat you! I know, I took several breaks (some long) when the frustration of laying on the ground struggling with rusty bolts and low clearances got to be too much.
I agree with Rob781 – check the lines carefully. Especially the pressure line from the PS pump to the rack. I had to replace that a few years ago.
There are some “poor man’s alignment” videos using a string, that I employed to get the wheels “close.” Didn’t want to be driving around to the alignment shop too out of kilter. So that got me close.
Good luck!