The little plug-in jobbie, you can plug it in anywhere. It won't record what the voltage is over time, and probably won't even record a maximum. But you can plug it into any socket, where you have good line of sight to, and just see what happens to the voltage over time. It won't do anything more than what the electrician can do with their MFT - but the advantage is, it's there all the time, and the electrician is not.
As others have said, the voltage should be in the range 230V +10% / -6% (216.2V to 253V). Whilst the plug-in jobbie won't be callibrated, in practice they are likely to be accurate (I've just compared my ÂŁ10 plug-in jobbie that I bought from Maplin 15 years ago with my calibrated MFT, and they match exactly). If you visually monitor the voltage over time (a few days) and notice it ever going above 253V, you have a little more to back you up when you phone the DNO.
When I had problems with my house, they fitted a little black box in the meter cabinet, tailed in to the supply meter, and left it there a week or two (while all around me stuff stopped working). I don't know whether or not these posher data logger type devices record transient surges or not - I suspect not.
Could you give us a bit more information about the setting? Are you in a rural area, with overhead supply lines, or a more urban setting? Do you know if you get your earth from an earth rod (which we would call a TT earthing system), or whether you get your earth from the supplier? If you're unsure, a photo of the service head (meter box) might help.
Also, have the losses of appliances coincided with any particular time of day, particular weather (bad weather/lightning) etc?
An SPD would ideally be fitted at the origin of the installation - an electrician might be able to fit one in your existing consumer unit, or in a separate enclosure next to it.
You can buy extension plugs/4-way adapters with SPDs in them from Wilkos/Tesco and the like - these will protect sensitive equipment plugged into them against surges, but not necessarily against sustained overvoltage or a broken neutral.