OK Charlotte here's the lowdown on Les Pauls compared with other electric guitars.
Les Paul's are heavy, that body is a big hunk of wood. This creates sustain, the guitar notes go on ringing a real long time. This is really good for blues solos. Les Pauls vary in weight due to the depth of body or in the case of Gibson's new Classic Antique model the presence of tone chambers.
In comparison stratocaster type guitars are light, original Fender strats were thin plywood. Original stratocasters came with 3 single coil pickups, which gives that waspish, ethereal solo sound. Les Pauls originally came with humbuckers, these are more powerful hence only 2 are needed and this leaves a nice gap between that's a natural to play into. Humbuckers as the name suggest give a strong signal without buzz, the single coils on strats tend to pick up hum from computers, neon bar signs etc.
If you know nothing about electrics I would certainly recommend you find a friendly shop on a quiet afternoon. Ask to try out a telecaster, stratocaster and Les Paul. I'd guess since you've got a banjo and acoustics you can play single notes runs or rolls. Try these out with a standard amp clean channel moderate gain. The different sounds of the 3 types should reveal themselves.
You may find the shop assistant will be quite cagey when you start getting high value instruments down but explain you are already an acoustic player and are looking in the thousand pound zone and they'll understand if you don't immediately buy.
You may find going from acoustic to electric that the new sound is very different and a bit of a shock (I did). I would almost recommend you purchase a Line 6 Variax and a Line 6 Flextone amp as a trial electric before you put down the big bucks. The Variax has digital electronics inside so impersonates all the major types of electric guitar, likewise a modelling amplifier can give you all the classic amp types and again these make a big difference. Les Paul through a 60s Marshall gives the Eric Clapton BluesBreakers tone. Same Les Paul through a Roland Jazz Chorus 120 gives that sterile 80s art rock sound.
Let us know the kind of electric playing you'd like to do and we can try and narrow down what sorts of guitar you should try out. I don't recommend internet stores unless you are buying a guitar you know already (like you need a second one as a live backup, had one stolen or sold it and now regret the mistake). Real shops can let you get hands on and you'll find out if the neck is right, if the body digs in or the controls get in the way if picking etc.
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