Hi there,
I'm no pro, but some advice for what it's worth...
Don't buy the cheapest tat you can find. From what I've seen there are many 'brands' that look like that one you linked to at Toolstation -
exactly like it. That's cos it's generic, anonymous chinese tat with the latest Mr-I-wanna-make-a-fast-buck-importing-rubbish-from-china's sticker stuck on it. Avoid that stuff like the plague, as I'm sure you would in purchasing decisions in other spheres. It's likely to be unreliable (with all that unreliability of life-saving devices implies), awkward to install (not helping your hopes of 'getting on with' your electrician), and your chances of finding compatible spares in the future may dissappear when the 'brand' does - in about 6 months time

. Stick with the well known trusted brands like MK, Hager, Wylex etc.
RCBOs are RCD and MCB in one. So you have in your consumer unit just the main switch and an RCBO for each circuit, rather than main switch, 2RCDs and MCBs shared between the two RCDs. All RCBOs is prefered because you have an individual RCD for each circuit so that if one circuit trips it doesn't take out any others potentially plunging you into darkness/defrosting your freezer etc etc. For an average full-sized house with, say, 10 circuits the all RCBO option is expensive so the dual RCD board with MCBs is the popular compromise. For you, with only three (or four with smoke alarm) circuits the all RCBO option will not be significantly more expensive than dual RCDs so should be considered.
Have a look at
TLC - in my experience a great online supplier with much better prices than screwfix for decent gear. For an all RCBO option you might consider, for example the 8-way 100A main switch Hager unit
here (the smaller 4 or 6-way ones would probably do, but with 63A main switches you'd ideally want to check your main service fuse is no bigger than 60A). Then RCBOs as appropriate - click one of the consumer units then scroll down for the RCBOs (and blanks for unused ways). With regards ratings replace your existing like for like - eg: 6A for lighting circuit, 32A for ring, whatever you need for your cooker, 6A if you're going to add smoke alarm circuit. This will be much neater than a huge dual RCD board full of empty space and a bucket of unused MCBs, and also optimal in terms of functionality, all for almost no extra cost.
Finally, as mentioned the main bonding (earth cables from incoming water and gas supplies to main earth terminal) needs to be up to spec - whether it is or not should be determined in the periodic inspection. As we're talking flats here I'm in no position to advise - I'm not sure if main bonding needs to be carried out for each flat or just at the main incoming service location for the building. Your spark should know.
Hope that helps, though I do share the sentiments of some others - if you've chosen which electrician to engage, and furthermore you're even impressed with his attitude, why are you not asking him for advice on what to supply (even if you still insist on buying it yourself)? He is afterall the one going to fit it, may have his own preferences, and has of course already seen your existing installation.
Liam