May be I'm wrong and it it safer to leave glass fuses?
I don't think glass fuses are
ever better.
(apart from the fact that you can look through the window and see if they're blown)
They are plenty from unused UK power plugs coming with almost any bit of equipment.
In that case there's a fun/simple way to find out: Blow a few of them.
Put your meter in the milliamps range and connect the probes to a battery. If the fuse blows then they're OK to use in your meter.
Data chart says these Bussmanns are Fast/Medium types, rated voltage 264V AC.
Those fancy fuses are
only there in case you connect your meter to a high energy source with the selector in the "amps" position.
Connecting your meter to a high energy source with the selector in the "amps" position is something you should
never do in real life. There's no legitimate reason to do it. Ever.
The fuses are only there for moments of stupidity.
On all ranges except "amps" it's it MOVs, PTCs, etc. that protect you., not the fuses (Simple test: pull the fuses out and see if you can still measure volts, ohms, etc.)
Bottom line: If your meter isn't safe to use with mains electricity then changing the fuses won't fix that.