I shoot very little video but I do have a selection of Micro 4/3rds lenses on Olympus bodies
The simplest way to test out the reach of any of the primes you're considering is to set your kit lens to that length and try it - I know that sounds obvious but it will quickly let you work out the framing at 17mm, 25mm and 45mm (or near enough).
I have the Panasonic 25mm f1.7. It's a brilliant lens and is very cheap for the quality (about £150 new). I got this over the 20mm because it's cheaper new than the 20mm second hand and the reviews I read said the autofocus was faster and more accurate.
I also have the Olympus 45mm f1.8. Again it's brilliant and last time I looked it was about £180 new/£120-40 used. It's almost certainly too long for your vlogging. I use mine for head and shoulders "portrait" snapshots indoor and sometimes for filming my kid at school events when positioning and light are both less than ideal. It's a gem for that kind of work.
I also have the Olympus 17mm f2.8. This is a very small pancake lens. Obviously it's not as fast as the other two lenses so you get a less shallow depth of field and it's low light capabilities aren't as good but the Olympus f1.8 is much more expensive for not a great deal more flexibility. This is my go to lens for general indoor use - mostly family shots in restaurants and homes when light is too low for a kit lens. Mine was £120 used from Wex. MPB have one for £90
Used Olympus 17mm f/2.8 Pancake lens - mpb.com
Currys have it for £190 new.
As I'm shooting stills on Olympus bodies I'm getting optical stabilisation on all my lenses. That might be a factor on the Panasonic bodies esp. shooting video though at the wider end it should be less significant.
I would suggest that a f2.8 zoom is probably your most flexible choice - Olympus make one too. I would look at used - from a dealer of via classifieds with care about what you're buying and from whom you're buying it.
If you're happy at 17mm then the Olympus f2.8 is a very capable lens for not a lot of money.