I find that playing electric and playing acoustic is almost like two different instruments; acoustic is more about the woods and the tones you can achieve from that - with electric the focus is primarily on the pickups .. with an electric, expect to pay more for adding an amp and external effects - in fact, I'd probably spend half of my budget on those ... so whatever your budget is, half it and look at guitars in that price range.
As with acoustic, it really is a case of trying out a number of guitars and seeing what 'feels' best. Sometimes looking at the brand is a hinderance unless you intend to sell it later down the track (where better know brands tend to keep their value better than unknown/lesser known brands). But you know, I still have my first decent electric I bought for $au200 a long time ago - it's not a known brand, but the neck feels really good, it doesn't get much of a play these days, but when I pull it out, it feels good (still, after all these years!!)
TLDR: budget for an amp and effects, buy what feel right, not the name on the headstock ...
Cheers
Richard
Is that a tenor uke by the looks? Good song this song, its one we play on our set list when we play at retirement homes or resthomes 
