yes, peter it looks like the same set up. but you can get a good 60 1/2 on ebay ot kijji for less
what is the record then a 5.25? it looks bigger than the stanley 5
The 60½ is a tad narrower than the LV - closer to the apron plane, but with an adjustable mouth.
I think the big Record is a 5½. It's definitely the best of your bunch, Peter.
The #4 smoother, being a 'handyman,' is of lesser quality than the standard Stanley, but the differences are mostly cosmetic. It's body is milled a bit less smoothly, and the knob and tote are lesser quality wood. Functionally, though, after a bit of tuning it'll work as well as it's more expensive brethren.
You've got a pretty good 'starter set' there. I'd go looking for a #3 (slightly smaller/narrower than the #4) and a #7 or #8 (long, heavy, jointers) to fill it out, along with the 60½ or a 65, or if new, the LV Low Angle Block, or the Low Angle rabbet plane I mentioned earlier.
Beware, though, it can be a slippery slope. I started small, and now have well over a hundred planes - even after giving some away.