Big speakers, find a well recorded record, volume turned up etc, unfamiliar system and room acoustics... pretty much any amplifier will be good enough to sound impressive, at least initially
They don't sound awful as such and can be reliable but the description of them I've used several times in the past is that they sound perfectly OK until you compare them with pretty much anything more modern or which was simply better and more expensive back in the day. IE nothing in particular sticks out like a sore thumb as being wrong with them but if you then swap one over with even the likes of a NAD 3020 or any budget Denon etc then the "modern" amp will beat it in every way.
I own several, have repaired many and even rebuilt a couple with top spec modern components and much bigger smoothing capacitors and output coupling capacitors just to see if it turned it into something special.... 'fraid not!
The Matching Stereofetic tuner is very good and there was a wooden sleeve that would take the pair together and looks good. I have such a thing amongst my own collection and used them for a while in a vintage second system with Leak Mini-Sandwich speakers. Sound was nowt special to say the least but it looked good!
If you must have one 'cos you love the styling or your Dad used to have one then obviously each to their own and I hope you'll enjoy it
To be historically accurate though the "correct" range to go with your 600 speakers is the Delta range. The Stereo 70 came out in 1967 and was updated to the Delta 70 in 1971 after Leak had been bought out by the Rank Organisation. It's basically a re-styled Stereo 70 but looks more modern. The 150, 200 and 600 speakers were released to go with the Delta range. A matching Leak turntable was also available but it was actually a Goldring-Lenco GL75 with a Leak badge on the front!
The star of the Leak solid state range in my opinion was the Delta 75 receiver. These are basically the circuitry of the Stereo 70 and the Stereofetic (AKA Delta 70 and Delta FM) combined in one case BUT they came out a year or two later and both amp and tuner circuitry was modified and improved in the receiver. It is considerably better sounding than the separate amp and tuner. Avoid the later 2000 series amps!
Be aware that as these are all around 55 years old now any unit you buy will need a complete refurb and service including all electrolytic capacitors replacing if you want to hear them at their best and get reliable service from them. It's normal to find the main big smoothing and output caps bulging and some leakage from them in even still working units...
To get this work carried out properly will cost a lot more than the value of the amp itself. I'd be very wary personally of units being sold as "completely rebuilt/refurbished" for only £185! Obviously you can save a lot if you can do the work yourself.
I service these (and the majority of other amps etc) in the North East (and indeed nationally by the wonder of couriers!) but there are companies such as London Sound nearer home to you. Expect to pay £40 - £80 for the amp and £200 - £350 ish (depending on whats wrong and how far you want it taking etc) for a proper refurbishment and service job by a professional.