You have a nice set of OLD chips.
Oh thats just a small amount of them.. my farthers friend does some work in some kind of telecommunications, he gave me all his old electronics equipment to learn from a few years back, i was looking for some ttl shift registers and i found a brief case full of these chips (didnt find any shift registers though). I have alot of various 74ls chips like ls645, ls133, ls244 and lots of others..
I can see no practical use for those chips, you would need probably 20+ chips and a square foot of breadboard to even get close to what a single Mega328 can do, so unless as mentioned you want to make something historical just for the heck of it or as a learning experience I'd move on
I am sure i have enough and i have a hell of an amount of free time as a student
Might give making this out of date pc a go if i can find all the info on it.. should be out there on the net.
As for the Picaxe, it's good for what it is and I've seen many good projects done with it, but there's no upgrade path, when you get more experienced you'll have to learn a stack of new stuff. With Arduino you just add to what you've learned.
I already have an arduino mega i was looking for cheap alternatives so i dont have to buy a whole new board for something that is just used for oscillation
(e.g. replacing a 555 + NAND gate that makes a modulated 38khz signal or something that can read the signal).