There are so many different ways of doing things like that. I can be torn by all the different possibilities. I will give you some actual examples:
==>>Doing it all on an FPGA (or CPLD). It means that even quite big and complex designs can be experimented with. With little worries about costs, it getting too big physically or how long it will take to physically build etc.
It also will probably run at a much higher clock speed, than something built out of transistors or TTL.
==>>Going all (or mostly) discrete transistor. But one has to be extremely careful, to avoid such a project going out of control. Because it can soon become impractically big (and hence very expensive and power hungry). Which someone else demonstrated here:
This whopping 16-bit computer processor is being built by hand, transistor by transistor
Cambridge Brit to wire up 14,000 gates, 3,500 LEDs
https://www.theregister.co.uk/2015/06/23/brit_mega_processor/==>>TTL like you and others. But the older TTL (such as LS) are getting harder, and harder to obtain, and even HC types are not necessarily fully available, especially in through hole.
==>>Doing a retro like, Microprocessor, build. E.g. Motorola/Hitachi 68000 or Z80/6502/6800 etc. These are probably old enough now, to count as retro (vintage like).
I think you can buy, Motherboard kits. Which allow you to build (as a kit), a complete, vintage 8086, working PC motherboard. I am very tempted by these. They are something like $150+ or so. Hence you can make an entire vintage PC (8086), yourself, with the kits.
==>>Don't get me started talking about an all valve/tube, retro cpu/computer design, with core memory. If you think that is a totally crazy idea, then look through this forum. Because at least one of the posters, has wound his own core memory devices, and put youtube videos, of his experiments with them. Which were then used to make a useful project for him.
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Currently, I favor starting with the FPGA route. Because learning more about FPGA's, is a useful/fun skill, anyway. It is a relatively cheap way, as well. With the FPGA obtainable, ready assembled in developer board format.
If you get it dramatically wrong, it is real quick and easy to correct. Unlike large/complicated physical builds.
Thanks for the kind offer of the schematics. But a big part of the fun element for me, would be designing it, completely by myself.